Question

Simplify each expression.

a. sqrt(7x^3) * sqrt(14x)

b. (64)^-2/3

Answer 1

\[64^{-\frac{2}{3}}=\frac{1}{\sqrt[3]{64}}\] is a start

Answer 2

actually \[64^{-\frac{2}{3}}=\frac{1}{\sqrt[3]{64}^2}\]

Answer 3

the cube root of 64 is 4, 4 squared is 16 finishes it off

Answer 4

And in the a. you can combine everything under one square root function.\[\sqrt{7x^3}\cdot \sqrt{14x} = \sqrt{ (7 \cdot 14)x^4}\]

Answer 5

the post for a. can be simplified