Question

If a is a real number and m and n are positive integers, then (continued in photo) true or false?

Answer 1

Answer: False

Explanation:

Answer 2

False

EXPLANATION

If

`a`

is a real number and m and n are positive integers, Then,

`{a}^{ (m)/(n) } = \sqrt[n]{ {a}^(m) } = ({ \sqrt[n]{a} })^(m)`

`{a}^{ (m)/(n) } \\e \sqrt[n]{ {a}^(m) } \\e ({ \sqrt[m]{a} })^(n)`

For instance,

`{8}^{ (2)/(3) } = \sqrt[3]{ {8}^(2) } = ({ \sqrt[3]{8} })^(2) = 4`

`{8}^{ (2)/(3) } \\e\sqrt[2]{ {8}^(3) } \\e ({ \sqrt[2]{8} })^(3) \\e4`