Asked by sllab
5 minus 5 squared times 5x =5 12 squared
X = squared number
X = squared number
Answers
Answered by
sllab
5-⁵×5x=5¹²
X = squared
Find x
X = squared
Find x
Answered by
sllab
Five × negative five squared × 5 and 2 squared
Answered by
sllab
Five times negative five squared times 5 and 4 squared
Answered by
sllab
Equations equaling 5¹²
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sllab
Five times negative five to the second power times five to the power of blank equals five to the power of twelve
Answered by
sllab
Find the missing value for z⁸\cdotz times the power of blank =z¹⁵
Answered by
sllab
4^7×4^x=4^12
Answered by
sllab
9×^-3x9^9
Answered by
sllab
9 × negative power of 3 × 9 to the power of 9
Answered by
GPT 3.5
To solve for x, let's first simplify the equation:
5 - 5^2 * 5x = 5 * 12^2
5 - 25 * 5x = 5 * 144
5 - 125x = 720
Now, let's isolate the x term:
125x = 720 - 5
125x = 715
Finally, divide both sides of the equation by 125 to solve for x:
x = 715 / 125
x = 5.72
5 - 5^2 * 5x = 5 * 12^2
5 - 25 * 5x = 5 * 144
5 - 125x = 720
Now, let's isolate the x term:
125x = 720 - 5
125x = 715
Finally, divide both sides of the equation by 125 to solve for x:
x = 715 / 125
x = 5.72
Answered by
GPT 3.5
To solve for x, let's start by simplifying the equation:
5 - 5^(-5) * 5x = 5^12
5 - (1/5^5) * 5x = 5^12
Next, let's convert 5^(-5) to a fraction:
5^-5 = 1/5^5
Substituting this back into the equation:
5 - (1/5^5) * 5x = 5^12
5 - (1/(5^5)) * 5x = 5^12
Now, let's simplify further:
5 - (1/(3125)) * 5x = 5^12
To eliminate the fraction, we can multiply both sides of the equation by 3125:
5 * 3125 - 3125 * (1/(3125)) * 5x = 3125 * 5^12
15625 - 5x = 244140625
Next, let's isolate the x term:
-5x = 244140625 - 15625
-5x = 244124000
Finally, divide both sides of the equation by -5 to solve for x:
x = 244124000 / -5
x = -48824800
5 - 5^(-5) * 5x = 5^12
5 - (1/5^5) * 5x = 5^12
Next, let's convert 5^(-5) to a fraction:
5^-5 = 1/5^5
Substituting this back into the equation:
5 - (1/5^5) * 5x = 5^12
5 - (1/(5^5)) * 5x = 5^12
Now, let's simplify further:
5 - (1/(3125)) * 5x = 5^12
To eliminate the fraction, we can multiply both sides of the equation by 3125:
5 * 3125 - 3125 * (1/(3125)) * 5x = 3125 * 5^12
15625 - 5x = 244140625
Next, let's isolate the x term:
-5x = 244140625 - 15625
-5x = 244124000
Finally, divide both sides of the equation by -5 to solve for x:
x = 244124000 / -5
x = -48824800
Answered by
GPT 3.5
To simplify the expression, let's break it down step by step:
First, let's calculate (-5)^2, which means multiplying -5 by itself:
(-5)^2 = (-5) × (-5) = 25
So now we have:
5 × 25 × 5^2
Next, let's calculate 5^2, which means multiplying 5 by itself:
5^2 = 5 × 5 = 25
Now we have:
5 × 25 × 25
To simplify further, we can multiply the numbers:
5 × 25 × 25 = 625 × 5
Multiplying again, we get the final result:
625 × 5 = 3125
Therefore, the expression "Five × negative five squared × 5 and 2 squared" simplifies to 3125.
First, let's calculate (-5)^2, which means multiplying -5 by itself:
(-5)^2 = (-5) × (-5) = 25
So now we have:
5 × 25 × 5^2
Next, let's calculate 5^2, which means multiplying 5 by itself:
5^2 = 5 × 5 = 25
Now we have:
5 × 25 × 25
To simplify further, we can multiply the numbers:
5 × 25 × 25 = 625 × 5
Multiplying again, we get the final result:
625 × 5 = 3125
Therefore, the expression "Five × negative five squared × 5 and 2 squared" simplifies to 3125.
Answered by
GPT 3.5
To simplify the expression, let's break it down step by step:
First, let's calculate (-5)^2, which means multiplying -5 by itself:
(-5)^2 = (-5) × (-5) = 25
So now we have:
5 × 25 × 5^4
Next, let's calculate 5^4, which means multiplying 5 by itself four times:
5^4 = 5 × 5 × 5 × 5 = 625
Now we have:
5 × 25 × 625
To simplify further, we can multiply the numbers:
5 × 25 × 625 = 78125
Therefore, the expression "Five times negative five squared times 5 and 4 squared" simplifies to 78125.
First, let's calculate (-5)^2, which means multiplying -5 by itself:
(-5)^2 = (-5) × (-5) = 25
So now we have:
5 × 25 × 5^4
Next, let's calculate 5^4, which means multiplying 5 by itself four times:
5^4 = 5 × 5 × 5 × 5 = 625
Now we have:
5 × 25 × 625
To simplify further, we can multiply the numbers:
5 × 25 × 625 = 78125
Therefore, the expression "Five times negative five squared times 5 and 4 squared" simplifies to 78125.
Answered by
GPT 3.5
To find equations that equal 5^12, we can solve for x in various mathematical expressions. Here are a few examples:
1. x = 5^12
This equation directly states that x is equal to 5^12.
2. x + 5^2 = 5^12
By subtracting 5^2 from both sides, we can solve for x:
x = 5^12 - 5^2 = 244140600
3. 5^(2x) = 5^12
Since the base is the same on both sides, the exponents must be equal:
2x = 12
Dividing both sides by 2, we find:
x = 6
4. log₅(5^12) = x
Using logarithmic properties, we know that log₅(5^12) is equal to the exponent:
x = 12
5. 5 * x^2 = 5^12
Dividing both sides by 5, we find:
x^2 = 5^10
Taking the square root of both sides and considering both positive and negative roots:
x = ±5^5 = ±3125
These are a few examples of equations that equal 5^12.
1. x = 5^12
This equation directly states that x is equal to 5^12.
2. x + 5^2 = 5^12
By subtracting 5^2 from both sides, we can solve for x:
x = 5^12 - 5^2 = 244140600
3. 5^(2x) = 5^12
Since the base is the same on both sides, the exponents must be equal:
2x = 12
Dividing both sides by 2, we find:
x = 6
4. log₅(5^12) = x
Using logarithmic properties, we know that log₅(5^12) is equal to the exponent:
x = 12
5. 5 * x^2 = 5^12
Dividing both sides by 5, we find:
x^2 = 5^10
Taking the square root of both sides and considering both positive and negative roots:
x = ±5^5 = ±3125
These are a few examples of equations that equal 5^12.
Answered by
GPT 3.5
Let's solve the equation step by step:
5 * (-5)^2 * 5^x = 5^12
First, let's simplify (-5)^2:
(-5)^2 = (-5) * (-5) = 25
Now the equation becomes:
5 * 25 * 5^x = 5^12
Next, let's simplify 5^x * 5^2:
5^x * 5^2 = 5^(x+2)
Now the equation becomes:
5 * 25 * 5^(x+2) = 5^12
We can rewrite 5 and 25 as powers of 5:
5^1 * 5^2 * 5^(x+2) = 5^12
Now we can combine the terms with the same base:
5^(1 + 2 + x + 2) = 5^12
5^(5 + x) = 5^12
Since the bases are the same, we can equate the exponents:
5 + x = 12
Subtracting 5 from both sides:
x = 12 - 5
x = 7
Therefore, the equation 5 * (-5)^2 * 5^x = 5^12 has a solution of x = 7.
5 * (-5)^2 * 5^x = 5^12
First, let's simplify (-5)^2:
(-5)^2 = (-5) * (-5) = 25
Now the equation becomes:
5 * 25 * 5^x = 5^12
Next, let's simplify 5^x * 5^2:
5^x * 5^2 = 5^(x+2)
Now the equation becomes:
5 * 25 * 5^(x+2) = 5^12
We can rewrite 5 and 25 as powers of 5:
5^1 * 5^2 * 5^(x+2) = 5^12
Now we can combine the terms with the same base:
5^(1 + 2 + x + 2) = 5^12
5^(5 + x) = 5^12
Since the bases are the same, we can equate the exponents:
5 + x = 12
Subtracting 5 from both sides:
x = 12 - 5
x = 7
Therefore, the equation 5 * (-5)^2 * 5^x = 5^12 has a solution of x = 7.
Answered by
GPT 3.5
To find the missing value, let's set up the equation:
z^8 * z^x = z^15
Now, let's use the rule of exponents that states when multiplying the same base with different exponents, we add the exponents:
z^(8 + x) = z^15
To solve this equation, we can equate the exponents:
8 + x = 15
Subtracting 8 from both sides of the equation:
x = 15 - 8
x = 7
So, the missing value for z^8 * z^x = z^15 is x = 7.
z^8 * z^x = z^15
Now, let's use the rule of exponents that states when multiplying the same base with different exponents, we add the exponents:
z^(8 + x) = z^15
To solve this equation, we can equate the exponents:
8 + x = 15
Subtracting 8 from both sides of the equation:
x = 15 - 8
x = 7
So, the missing value for z^8 * z^x = z^15 is x = 7.
Answered by
GPT 3.5
To solve the equation, we can use the rule of exponents that states when multiplying the same base with different exponents, we add the exponents.
We have the equation:
4^7 * 4^x = 4^12
Using the rule, we can combine the exponents on the left side of the equation:
4^(7 + x) = 4^12
Now we can equate the exponents:
7 + x = 12
Subtracting 7 from both sides of the equation:
x = 12 - 7
x = 5
Therefore, the missing value for 4^7 * 4^x = 4^12 is x = 5.
We have the equation:
4^7 * 4^x = 4^12
Using the rule, we can combine the exponents on the left side of the equation:
4^(7 + x) = 4^12
Now we can equate the exponents:
7 + x = 12
Subtracting 7 from both sides of the equation:
x = 12 - 7
x = 5
Therefore, the missing value for 4^7 * 4^x = 4^12 is x = 5.
Answered by
GPT 3.5
When you have a negative exponent, it means you take the reciprocal of the base raised to the positive exponent.
Let's simplify the expression step by step:
9^(-3) * 9^9
Since 9^(-3) is the reciprocal of 9^3, we can rewrite it as 1/(9^3):
1/(9^3) * 9^9
Next, we can simplify the multiplication by combining the exponents with the same base:
1/(9^3) * 9^(3*3)
Now we have:
1/(9^3) * 9^9
Simplifying further:
1/(9^3) * 9^9 = 1/729 * 9^9
To multiply fractions, we multiply the numerators and denominators separately:
(1 * 9^9) / (729)
Now we can simplify:
9^9 / 729 = 9^9 / 3^6
Since both 9 and 3 can be expressed as powers of 3:
(3^2)^9 / 3^6
Using the power of a power rule (raising a power to another power), we can simplify:
3^(2*9) / 3^6
3^18 / 3^6
Applying the rule of subtracting exponents when we have division:
3^(18 - 6) = 3^12
Therefore, 9^(-3) * 9^9 simplifies to 3^12.
Let's simplify the expression step by step:
9^(-3) * 9^9
Since 9^(-3) is the reciprocal of 9^3, we can rewrite it as 1/(9^3):
1/(9^3) * 9^9
Next, we can simplify the multiplication by combining the exponents with the same base:
1/(9^3) * 9^(3*3)
Now we have:
1/(9^3) * 9^9
Simplifying further:
1/(9^3) * 9^9 = 1/729 * 9^9
To multiply fractions, we multiply the numerators and denominators separately:
(1 * 9^9) / (729)
Now we can simplify:
9^9 / 729 = 9^9 / 3^6
Since both 9 and 3 can be expressed as powers of 3:
(3^2)^9 / 3^6
Using the power of a power rule (raising a power to another power), we can simplify:
3^(2*9) / 3^6
3^18 / 3^6
Applying the rule of subtracting exponents when we have division:
3^(18 - 6) = 3^12
Therefore, 9^(-3) * 9^9 simplifies to 3^12.
Answered by
GPT 3.5
To simplify the expression, let's break it down step by step:
First, let's calculate 3 raised to the power of 9:
3^9 = 19683
Now we have:
9 × (-3) × 19683
Next, let's calculate the negative power of 3:
(-3) = -3
Now we have:
9 × (-3) × 19683
To simplify further, we can multiply the numbers:
9 × (-3) × 19683 = -177147
Therefore, the expression "9 × negative power of 3 × 9 to the power of 9" simplifies to -177147.
First, let's calculate 3 raised to the power of 9:
3^9 = 19683
Now we have:
9 × (-3) × 19683
Next, let's calculate the negative power of 3:
(-3) = -3
Now we have:
9 × (-3) × 19683
To simplify further, we can multiply the numbers:
9 × (-3) × 19683 = -177147
Therefore, the expression "9 × negative power of 3 × 9 to the power of 9" simplifies to -177147.