Question

5 minus 5 squared times 5x =5 12 squared

X = squared number

Answer 1

5-⁵×5x=5¹²

X = squared
Find x

Answer 2

Five × negative five squared × 5 and 2 squared

Answer 3

Five times negative five squared times 5 and 4 squared

Answer 4

Equations equaling 5¹²

Answer 5

Five times negative five to the second power times five to the power of blank equals five to the power of twelve

Answer 6

Find the missing value for z⁸\cdotz times the power of blank =z¹⁵

Answer 7

4^7×4^x=4^12

Answer 8

9×^-3x9^9

Answer 9

9 × negative power of 3 × 9 to the power of 9

Answer 10

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

Answer 11

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

Answer 12

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.

Answer 13

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.

Answer 14

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.

Answer 15

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.

Answer 16

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.

Answer 17

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.

Answer 18

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.

Answer 19

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.