Question

What is a simplified form of the expression (5^2)-^2Divided by 5^3

Answer 1

5^ -7 =1 / 5^7

Explanation:

(5^2)-^2/ 5^3

We know that a^b^c = a^(b*c)

(5^2)-^2 = 5^(2*-2) = 5^-4

5^-4/ 5^3

We know that a^b /a^c = a^ (b-c)

5 ^ (-4-3)

5^ -7

If we don't want to use negative exponents

We know that a^ -b = 1/ a^b

1 / 5^7