Question

Lesson 2: Multiplying and Dividing Radical Expressions
ALG 2B Unit 1: Radical Functions and Rational Exponents (CONNECTIONS ACADEMY)

Answer 1

@SK_CA

Answer 2

\[\sqrt[3]{4}\times \sqrt[3]{2000}\]

Answer 3

would anyone like to explain to me how to do this

Answer 4

Rather than radicals, make them fractions (ie. cube root = 1/3)
\[4=2^2\]
and \[2000=2*1000\]
\[(2^2)^{\frac{1}{3}} * (2*1000)^{\frac{1}{3}}\]
Recall that when you have something like \[(a^b)^c\] you multiply the exponents, so our equation becomes
\[2^{\frac{2}{3}} * 2^{\frac{1}{3}} * 1000^{\frac{1}{3}}\]
\[2^{\frac{2}{3} + \frac{1}{3}} * 10\]
\[2*10=20\]
So 20 is your answer.