Which expression is equivalent to (16x^8y^-12)^1/2

Question

asked Aug 20, 2018 108k views

2 Answers

Gionata · Answer 1 · 2018-08-25T01:53:31+0000

Answer:

The equivalent expression is
$\Rightarrow (4x^4)/(y^6)$

Explanation:

Given:
(16x^8y^(-12))^(1/2)

We need to simplify the expression. We will distribute radical with each term inside the parentheses.

$\Rightarrow (16x^8y^(-12))^(1/2)$

Distribute the radical

$\Rightarrow 16^(1/2)\cdot x^{8\cdot 1/2\cdot y^(-12\cdot 1/2)$

$\Rightarrow 4\cdot x^4\cdot y^(-6)$

$\Rightarrow 4x^4y^(-6)$

Now we will simplify the negative exponent.

$\Rightarrow (4x^4)/(y^6)$

Hence, The equivalent expression is
$\Rightarrow (4x^4)/(y^6)$