Question

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

Answer 1

The expression will be written as $\rm \sqrt[8]{2^5}$., the correct option is A.

What are Exponents?

Exponents are the base raised to a power, It is written in the superscript of a number.

The expression given in the statement can be written as

$\rm \dfrac{ 2^{7/8}}{2^{1/4}}$

By the Exponent rule,

$\rm \dfrac{a^m}{a^n} = a^{m-n}$

So the expression can be written as

=$\rm { 2^{7/8-1/4}$

=$\rm 2^{5/8}$

=$\rm \sqrt[8]{2^5}$

Therefore, in radical form, the expression will be written as $\rm \sqrt[8]{2^5}$., the correct option is A.

The complete question is

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

2 to the 7 over 8 power, all over 2 to the 1 over 4 power

the eighth root of 2 to the fifth power

the fifth root of 2 to the eighth power

the square root of 2 to the 5 over 8 power

the fourth root of 2 to the sixth power

To know more about Exponents

brainly.com/question/5497425

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