Question

What is the answer for (7 ^ 5 / 7 ^ 2) ^ 2 as a single power​

Answer 1

7⁶

Explanation:

(7⁵ ÷ 7²)²

(7^(5-2))²

(7³)²

7⁶

Answer 2

`7^6`

Explanation:

When we divide powers with the same base (in this case, that same base is 7), we can just combine the powers into one number with an exponent as the difference of the original exponents.

For example, here we have
`(7^5)/(7^2)` , which is equal to
`7^(5-2) =7^3`.

Now, we're taking the square of 7^3, so we just multiply the exponents:

`(7^3)^2=7^(3*2)=7^6`

Thus, the answer is
`7^6`.

Hope this helps!