Question

Rewrite the expression with rational exponents as a radical expression by extending the properties of integer exponents.

two to the seven eighths power, all over two to the one fourth power

the eighth root of two to the fifth power
the fifth root of two to the eighth power
the square root of two to the five eighths power
the fourth root of two to the sixth power

Answer 1

the eighth root of 2 to the fifth power .

Answer 2

Eight root of to the fifth power.

Explanation:

2^7/8 / 2^1/4

= 2^(7/8 - 1/4)

= 2^5/8

= eight root of to the fifth power.