Question

Simplify 4√(132/143)raised to power -2

Answer 1

169/36
is your answer

Answer 2

Answer:

The simplified form of given expression is $\frac{13}{3}$.

Step-by-step explanation:

The given expression is

$4\sqrt{(\frac{132}{143})^{-2}}$

Using property of exponent,

$4\sqrt{(\frac{143}{132})^{2}}$            $a^{-x}=\frac{1}{a^x}$  

Using property of radical expression, it can be written as

$4\times ((\frac{143}{132})^{2})^{\frac{1}{2}$

$4\times \frac{143}{132}$

$\frac{143}{33}$

$\frac{13}{3}$

Therefore the simplified form of given expression is $\frac{13}{3}$.