What is the simplest form of RootIndex 3 StartRoot 27 a cubed b Superscript 7 Baseline EndRoot?

Question

asked Nov 15, 2021 105k views

2 Answers

Anil D · Answer 1 · 2021-11-19T16:55:33+0000

Answer:
$3a\sqrt[3]{b^(7)}$

Explanation:

We have the following expression:

$\sqrt[3]{27 a^(3) b^(7)}$

This can be rearranged as:

$\sqrt[3]{27} \sqrt[3]{a^(3)} \sqrt[3]{b^(7)}$

Since
$\sqrt[3]{27}=3$ and
$\sqrt[3]{a^(3)}=a$ we have:

$3a\sqrt[3]{b^(7)}$ This is the simplest form