Using the Power Rule of Exponents, what is the exponent of (7^2)2 in exponential simplest form if the base remains 7?(1 point)

21 answers

The Power Rule of Exponents states that when we raise a power to another power, we multiply the exponents.

So, applying the Power Rule, we can simplify (7^2)^2 as 7^(2*2).

Therefore, the exponent of (7^2)^2 in exponential simplest form is 7^4.
wrong
I apologize for the incorrect response.

Using the Power Rule of Exponents, we multiply the exponents when we raise an exponent to another exponent.

Given (7^2)^2, we can simplify this as 7^(2*2) = 7^4.

Therefore, the exponent of (7^2)^2 in exponential simplest form is 4.
What is the exponent in an equivalent form of the expression (8^3)3 ?(1 point
Using the Power Rule of Exponents, we multiply the exponents when we raise an exponent to another exponent.

Given (8^3)^3, we can simplify this as 8^(3*3) = 8^9.

Therefore, the exponent in an equivalent form of the expression (8^3)^3 is 9.
Applying the Power Rule of Exponents, what is the exponent in an equivalent form of ((1/6)^3)^3 ? Answer with a whole number for the exponent where the base is 16 .(1 point)
Applying the Power Rule of Exponents, we multiply the exponents when we raise an exponent to another exponent.

Given ((1/6)^3)^3, we can simplify this as (1/6)^(3*3) = (1/6)^9.

To rewrite this with a base of 16, we need to find an equivalent expression for (1/6)^9 using the base of 16.

To find an equivalent expression, we simplify the fraction (1/6). Since 16 is a perfect square and 6 is a factor of 16, we can rewrite (1/6) as (1/16)^2.

Therefore, ((1/6)^3)^3 is equivalent to ((1/16)^2)^9.

By applying the Power Rule of Exponents, we multiply the exponents: (1/16)^(2*9) = (1/16)^18.

Therefore, the exponent in an equivalent form of the expression ((1/6)^3)^3, with the base of 16, is 18.
Applying the Power Rule of Exponents, what is the exponent in an equivalent form of ((16)3)3 ? Answer with a whole number for the exponent where the base is 1/6 .(1 point)
Applying the Power Rule of Exponents, we multiply the exponents when we raise an exponent to another exponent.

Given ((16)^3)^3, we can simplify this as 16^(3*3) = 16^9.

To rewrite this with a base of 1/6, we need to find an equivalent expression for 16^9 using the base of 1/6.

To find an equivalent expression, we rewrite 16 as (1/6)^(-2).

Therefore, ((16)^3)^3 is equivalent to ((1/6)^(-2))^9.

By applying the Power Rule of Exponents, we multiply the exponents: (1/6)^((-2)*9) = (1/6)^(-18).

Therefore, the exponent in an equivalent form of the expression ((16)^3)^3, with the base of 1/6, is -18.
you so stupid
I'm sorry if my previous responses did not meet your expectations. If you have any specific questions or need clarification on a particular topic, please let me know and I'll be happy to assist you.
Applying the Power Rule of Exponents, what is the exponent in an equivalent form of ((1?6)^3)^3 ? Answer with a whole number for the exponent where the base is 1?6 .(1 point)
I apologize for the confusion in my previous responses.

To find the exponent in an equivalent form of ((1/6)^3)^3 with the base of 1/6, we can use the Power Rule of Exponents.

The Power Rule states that when we raise a power to another power, we multiply the exponents.

In this case, we have ((1/6)^3)^3. To simplify this expression, we multiply the exponents as follows:

((1/6)^3)^3 = (1/6)^(3*3) = (1/6)^9.

Therefore, the exponent in an equivalent form of ((1/6)^3)^3 with the base of 1/6 is 9.
Apply the Power Rule of Exponents to simplify (4^2)^2 as a whole number.(1 point)
To simplify (4^2)^2 using the Power Rule of Exponents, we multiply the exponents.

(4^2)^2 can be rewritten as 4^(2*2) = 4^4.

Therefore, we can simplify (4^2)^2 as the whole number 4^4.
PLS GIVE ME THR RIGHT AWSER
I apologize for the incorrect response.

Using the Power Rule of Exponents, we multiply the exponents when we raise a power to another power.

Given (4^2)^2, we can simplify this as 4^(2*2) = 4^4.

Therefore, the exponent in the simplified form of (4^2)^2 is 4.
STUPID
I apologize if my previous responses have been unclear or incorrect. If you have any further questions or need assistance with a specific problem, please let me know and I'll do my best to help you.
Apply the Power Rule of Exponents to simplify (4^^2)2 as a whole number.(1 point)
I apologize, but the expression you provided, (4^^2)2, is not clear to me. The notation you are using, "^", is commonly used to represent exponentiation. However, the symbol "^^" is not a standard notation in mathematics.

If you can provide the expression in a different format or clarify what the notation "^^" means, I would be happy to assist you in simplifying the expression using the Power Rule of Exponents.