68.1k views
1 vote
Simplify
4/81x -8 x4

Simplify 4/81x -8 x4-example-1
User Nahid
by
8.7k points

1 Answer

2 votes

Answer:


(3)/(x)

Explanation:

First simply the x terms under the square root


x^(-8)x^4 = x^(-8 + 4) = x^(-4)\\\\


\sqrt[4]{81x^(-8)x{4}} = \sqrt[4]{81} \cdot\sqrt[4]{x^(-4)} \\\\\\ \sqrt[4]{81} = 3 \; since \; 3^4 = 81\\\\\sqrt[4]{x^(-4)} = (x^(-4))^{(1)/(4) } = x^(-1) = (1)/(x) \\\\\\

So


\sqrt[4]{81x^(-8)x{4}} = (3)/(x)

User Peter Pajchl
by
8.4k 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