138k views
5 votes
What is the simplest form of the product cube root4x^2*cube root8x^7

User Cloudcop
by
8.5k points

1 Answer

4 votes

Answer:

f(x) =
2^{(5)/(3) }x^(3) is the simplest expression

Explanation:

We are given an expression and we are supposed to find the simplest form of the given expression.

The given expression is

f(x) =
\sqrt[3]{4x^(2) } * \sqrt[3]{8x^(7) }

Since the cube root is common we can multiply the quotient inside the radical sign.

f(x) =
\sqrt[3]{32x^((2+7)) }

=
\sqrt[3]{32x^(9) }

=
2^{(5)/(3) }* x^{(9)/(3) }

=
2^{(5)/(3) }x^(3)

f(x) =
2^{(5)/(3) }x^(3) is the simplest expression

User Shihas
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories