Question

(125)^-2/3 / (8)^2/3
PLZ FAST

Answer 1

(125)^-2/3 / (8)^2/3                                  (as a^-1 = 1/a)
= 1/{(125)^2/3 * (8)^2/3}
= 1/{(5)^2 * (2)^2}
= 1/{25 * 4}
= 1/100
= 0.01

Answer 2

0.01

Step-by-step explanation:

$\frac{(125)^{-2/3} }{8^{2/3} }$ is the given equation.

Now, As we know, $a^{-b}   = \frac{1}{a^{b} }$

Also, 125 = 5 x 5 x  5 = $5^{3}$

and , 8 =  2 x 2 x 2 = $2^{3}$

So, the equation becomes :  $\frac{(5^{3}) ^{-2/3} }{(2^{3}) ^{2/3} }$

On solving further,

⇒ we get $\frac{5^{-2} }{2^{2} }  = \frac{1}{5^{2}\times  2^{2} }  = \frac{1}{25 \times 4} = \frac{1}{100}$

= 0.01