To simplify (2^-8)^-2, we can use the property of exponents that states: (a^m)^n = a^(m*n).
So (2^-8)^-2 = 2^(-8*-2) = 2^16.
Simplify (2^-8)^-2
53 answers
Exponential form
The exponential form of 2^16 is 65,536.
Simplify and write (2^-8)^-2 in exponential form
To simplify and write (2^-8)^-2 in exponential form, first, let's simplify the expression inside the parentheses:
(2^-8)^-2 = (1/2^8)^-2 = (1/256)^-2
Next, we can rewrite 1/256 as a power of 2 using negative exponents:
(1/256)^-2 = (2^-8)^-2
Now, we can write the expression in exponential form as:
(2^-8)^-2 = 2^16
(2^-8)^-2 = (1/2^8)^-2 = (1/256)^-2
Next, we can rewrite 1/256 as a power of 2 using negative exponents:
(1/256)^-2 = (2^-8)^-2
Now, we can write the expression in exponential form as:
(2^-8)^-2 = 2^16
Simplify 2^16
2^16 simplifies to 65,536.
Simplify 65,536
65,536 is already simplified, as it is the numerical representation of 2^16.
Simplify 2^-8×^-2 in exponential form
To simplify 2^-8×^-2 in exponential form, we can use the property of exponents that states: a^(-n) = 1/(a^n).
So, 2^-8 ×^-2 = 1/(2^8 × 2^2) = 1/(2^8 × 4) = 1/(256 × 4) = 1/1024.
So, 2^-8 ×^-2 = 1/(2^8 × 2^2) = 1/(2^8 × 4) = 1/(256 × 4) = 1/1024.
@bot
I want you to simplify 2^-8×^-2
EXPONENTIAL FORM
Your answers you have provided are all incorrect
Please provide me the right answer!!
Hint: The answer is not 1, 1024, 1/1024, 2^16, or 65,536
I want you to simplify 2^-8×^-2
EXPONENTIAL FORM
Your answers you have provided are all incorrect
Please provide me the right answer!!
Hint: The answer is not 1, 1024, 1/1024, 2^16, or 65,536
Apologies for the confusion. Let's simplify 2^-8 × ^-2 using exponential form.
To simplify this expression, we can use the rule that states: a^(-n) = 1/(a^n).
So, 2^-8 × ^-2 can be rewritten as 1/(2^8) × 1/(2^2).
Using the rules of exponents, we can simplify this to 1/((2^8) × 2^2) = 1/(2^8 × 2^2) = 1/2^(8+2).
Combining the exponents, we get 1/2^10.
Therefore, the simplified form, written in exponential form, is 2^(-10).
To simplify this expression, we can use the rule that states: a^(-n) = 1/(a^n).
So, 2^-8 × ^-2 can be rewritten as 1/(2^8) × 1/(2^2).
Using the rules of exponents, we can simplify this to 1/((2^8) × 2^2) = 1/(2^8 × 2^2) = 1/2^(8+2).
Combining the exponents, we get 1/2^10.
Therefore, the simplified form, written in exponential form, is 2^(-10).
@bot
That is also not the correct answer
That is also not the correct answer
Apologies for the confusion. Let's simplify 2^-8 ×^-2 using exponential form.
To simplify this expression, we can combine the exponents. The rule for multiplying numbers with negative exponents is to add the exponents.
So, 2^-8 ×^-2 can be simplified as 2^(-8 + (-2)) = 2^(-8 - 2) = 2^-10.
Therefore, the simplified form, written in exponential form, is 2^-10.
To simplify this expression, we can combine the exponents. The rule for multiplying numbers with negative exponents is to add the exponents.
So, 2^-8 ×^-2 can be simplified as 2^(-8 + (-2)) = 2^(-8 - 2) = 2^-10.
Therefore, the simplified form, written in exponential form, is 2^-10.
Solve (z^5)^?=z^60
To solve the equation (z^5)^x = z^60, we can equate the exponents:
5x = 60
Dividing both sides by 5, we get:
x = 12
Therefore, the value of x that satisfies the equation is x = 12.
5x = 60
Dividing both sides by 5, we get:
x = 12
Therefore, the value of x that satisfies the equation is x = 12.
Solve (z^3)^?=z^-15
To solve the equation (z^3)^x = z^-15, we can equate the exponents:
3x = -15
Dividing both sides by 3, we get:
x = -5
Therefore, the value of x that satisfies the equation is x = -5.
3x = -15
Dividing both sides by 3, we get:
x = -5
Therefore, the value of x that satisfies the equation is x = -5.
(z^-5)^-9
To simplify (z^-5)^-9, we can use the rule of exponents which states that (a^m)^n = a^(mn).
Applying this rule, we have:
(z^-5)^-9 = z^(-5 * -9)
Multiplying the exponents, we get:
z^(45)
Therefore, (z^-5)^-9 simplifies to z^45.
Applying this rule, we have:
(z^-5)^-9 = z^(-5 * -9)
Multiplying the exponents, we get:
z^(45)
Therefore, (z^-5)^-9 simplifies to z^45.
Solve (y^8)^?=y^16
To solve the equation (y^8)^x = y^16, we can equate the exponents:
8x = 16
Dividing both sides by 8, we get:
x = 2
Thus, the value of x that satisfies the equation is x = 2.
8x = 16
Dividing both sides by 8, we get:
x = 2
Thus, the value of x that satisfies the equation is x = 2.
Solve (x^?)^2=x^-36
To solve the equation (x^?)^2 = x^-36, we can equate the exponents:
2 * ? = -36
Dividing both sides by 2, we get:
? = -36/2
Simplifying further, we have:
? = -18
Therefore, the value of ? that satisfies the equation is ? = -18.
2 * ? = -36
Dividing both sides by 2, we get:
? = -36/2
Simplifying further, we have:
? = -18
Therefore, the value of ? that satisfies the equation is ? = -18.
Solve (x^?)^2=x^84
To solve the equation (x^?)^2 = x^84, we can equate the exponents:
2 * ? = 84
Dividing both sides by 2, we get:
? = 84/2
Simplifying further, we have:
? = 42
Therefore, the value of ? that satisfies the equation is ? = 42.
2 * ? = 84
Dividing both sides by 2, we get:
? = 84/2
Simplifying further, we have:
? = 42
Therefore, the value of ? that satisfies the equation is ? = 42.
Solve (x^?)^6=x^84
To solve the equation (x^?)^6 = x^84, we can equate the exponents:
6 * ? = 84
Dividing both sides by 6, we get:
? = 84/6
Simplifying further, we have:
? = 14
Therefore, the value of ? that satisfies the equation is ? = 14.
6 * ? = 84
Dividing both sides by 6, we get:
? = 84/6
Simplifying further, we have:
? = 14
Therefore, the value of ? that satisfies the equation is ? = 14.
Solve (x^?)^7=x^63
To solve the equation (x^?)^7 = x^63, we can equate the exponents:
7 * ? = 63
Dividing both sides by 7, we get:
? = 63/7
Simplifying further, we have:
? = 9
Therefore, the value of ? that satisfies the equation is ? = 9.
7 * ? = 63
Dividing both sides by 7, we get:
? = 63/7
Simplifying further, we have:
? = 9
Therefore, the value of ? that satisfies the equation is ? = 9.
Simplify (y^8)^7
To simplify (y^8)^7, we can use the property of exponents that states (a^m)^n = a^(m*n).
Applying this property, we have:
(y^8)^7 = y^(8*7) = y^56
Therefore, (y^8)^7 simplifies to y^56.
Applying this property, we have:
(y^8)^7 = y^(8*7) = y^56
Therefore, (y^8)^7 simplifies to y^56.
Simplify (3^9)^3
To simplify (3^9)^3, we can apply the property of exponents that states (a^m)^n = a^(m * n).
Applying this property, we have:
(3^9)^3 = 3^(9 * 3) = 3^27
Therefore, (3^9)^3 simplifies to 3^27.
Applying this property, we have:
(3^9)^3 = 3^(9 * 3) = 3^27
Therefore, (3^9)^3 simplifies to 3^27.
Simplify (6^2)^4 using the power rule of exponents
To simplify (6^2)^4 using the power rule of exponents, we need to multiply the exponents:
(6^2)^4 = 6^(2 * 4) = 6^8
Therefore, (6^2)^4 simplifies to 6^8.
(6^2)^4 = 6^(2 * 4) = 6^8
Therefore, (6^2)^4 simplifies to 6^8.
Simplify (73^4)^5 using the power rule of exponents
To simplify (73^4)^5 using the power rule of exponents, we multiply the exponents:
(73^4)^5 = 73^(4 * 5) = 73^20
Therefore, (73^4)^5 simplifies to 73^20.
(73^4)^5 = 73^(4 * 5) = 73^20
Therefore, (73^4)^5 simplifies to 73^20.
Use the power rule of exponents to simplify (78^8)^6
To simplify (78^8)^6 using the power rule of exponents, we multiply the exponents:
(78^8)^6 = 78^(8 * 6) = 78^48
Therefore, (78^8)^6 simplifies to 78^48.
(78^8)^6 = 78^(8 * 6) = 78^48
Therefore, (78^8)^6 simplifies to 78^48.
Use the power rule of exponents to simplify (12×12×12)×(12×12×12)
To simplify (12 × 12 × 12) × (12 × 12 × 12) using the power rule of exponents, we can rewrite it as (12^3) × (12^3).
Using the power rule, we add the exponents when multiplying two numbers with the same base:
(12^3) × (12^3) = 12^(3 + 3) = 12^6.
Therefore, (12 × 12 × 12) × (12 × 12 × 12) simplifies to 12^6.
Using the power rule, we add the exponents when multiplying two numbers with the same base:
(12^3) × (12^3) = 12^(3 + 3) = 12^6.
Therefore, (12 × 12 × 12) × (12 × 12 × 12) simplifies to 12^6.
What exponent would make (16^x)^6 equal to (16^18)
To find the exponent that would make (16^x)^6 equal to (16^18), we can equate the exponents:
6x = 18
Dividing both sides by 6, we get:
x = 3
Therefore, the exponent that makes (16^x)^6 equal to (16^18) is x = 3.
6x = 18
Dividing both sides by 6, we get:
x = 3
Therefore, the exponent that makes (16^x)^6 equal to (16^18) is x = 3.
Which expression is correctly developed to use the power rule of exponents
(7^4)^8
(-5)^0
12^9
(7^8)×(7^10)
(7^4)^8
(-5)^0
12^9
(7^8)×(7^10)
The expression that is correctly developed to use the power rule of exponents is:
(7^4)^8.
According to the power rule, we can multiply the exponents:
(7^4)^8 = 7^(4 * 8) = 7^32.
Therefore, the expression (7^4)^8 can be simplified using the power rule of exponents.
(7^4)^8.
According to the power rule, we can multiply the exponents:
(7^4)^8 = 7^(4 * 8) = 7^32.
Therefore, the expression (7^4)^8 can be simplified using the power rule of exponents.
Which of the following correctly used the power rule of exponents in the expression (10^9)^7
10^2
90^7
10^63
10^16
10^2
90^7
10^63
10^16
The expression that correctly uses the power rule of exponents for (10^9)^7 is:
10^63.
According to the power rule, we multiply the exponents:
(10^9)^7 = 10^(9 * 7) = 10^63.
Therefore, the expression 10^63 correctly uses the power rule of exponents for (10^9)^7.
10^63.
According to the power rule, we multiply the exponents:
(10^9)^7 = 10^(9 * 7) = 10^63.
Therefore, the expression 10^63 correctly uses the power rule of exponents for (10^9)^7.
If the expression 4^10 was simplified using the power rule of exponents, what is an equivalent expanded expression?
(4^12)^2
(4^5)^2
4×4×4×4×4×4×4
(4^2)^8
(4^12)^2
(4^5)^2
4×4×4×4×4×4×4
(4^2)^8
If the expression 4^10 is simplified using the power rule of exponents, an equivalent expanded expression would be:
4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4
This expression represents the repeated multiplication of the base 4, 10 times, as stated by the exponent 10 in the original expression.
4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4
This expression represents the repeated multiplication of the base 4, 10 times, as stated by the exponent 10 in the original expression.
That is wrong
Apologies for the confusion. If the expression 4^10 is simplified using the power rule of exponents, the equivalent expanded expression would be:
4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4
Alternatively, we can write it as 4^1 × 4^1 × 4^1 × 4^1 × 4^1 × 4^1 × 4^1 × 4^1 × 4^1 × 4^1, which is equal to 4^(1+1+1+1+1+1+1+1+1+1) = 4^10.
Please let me know if you have any further questions or need additional clarification.
4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4 × 4
Alternatively, we can write it as 4^1 × 4^1 × 4^1 × 4^1 × 4^1 × 4^1 × 4^1 × 4^1 × 4^1 × 4^1, which is equal to 4^(1+1+1+1+1+1+1+1+1+1) = 4^10.
Please let me know if you have any further questions or need additional clarification.