Question

Simplify 4 to the 7th over 5 squared all raised to the 3rd power.

4 to the 10th over 5 to the 5th
4 to the 4th over 5
4 to the 21st over 5 to the 6th
12 to the 7th over 15 squared

Answer 1

4 to the 21st over 5 to the 6th.

Explanation:

Answer 2

First write out your original equation.

`{(\frac{ {4}^(7) }{ {5}^(2) } ) }^(3)`
Then use the law of exponents(power of a power) to simplify.

`\frac{ {4}^(21) }{ {5}^(6) }`
(Multiply the numerator and denominator exponents by the outside power.)

The answer is 4 to the 21st over 5 to the 6th.