Identify the rational exponent expression of ((^(5) √(7) )^(10) 5 7/10 B) 7 2 C) 7 10 D) 10 5/7

Question

Identify the rational exponent expression of (
`(^(5) √(7) )^(10)`

5 7/10
B) 7 2
C) 7 10
D) 10 5/7

Answer 1

B: 7^2

Explanation:

E.g. ∛x is also x^1/3.

So, is
`\sqrt[5]{7}` also
`7^(1/5)`.

Therefore, the expression is
`(7^(1/5))^(10)`.

When there are two exponents like that, they are multiplied.

1/5*10=2.