Question

Which expression is equivalent to ^3 sqrt x^10?

A) ^3 sqrt 3x^3+x
B) ^3 sqrt 3x^3 times x
C) ^3 sqrt x^3+x^3+x^3+x
D) ^3 sqrt x^9 times x

Answer 1

Explanation:

The answer id D, ^3 sqrt x^9 times x

Answer 2

`\sqrt[3]{x^(10)}=\sqrt[3]{x^9 *x}`

Explanation:

Given expression is
`\sqrt[3]{x^(10)}`

WE can break the exponent x^10

a^m+n= a^m* a^m (apply this product property)

10 can be written as 3+3+3+1

x^10 can be written as x^3 *x^3 *x^3 *x^1

or x^10 can be written as x^9 *x

So
`\sqrt[3]{x^(10)}=\sqrt[3]{x^9 *x}`