Question

(8a³/27x-³)⅔ * (64a³/27x-³)-⅔

Answer 1

$1/4$

Step-by-step explanation:

given expression

$=\left ( 8\times a^{3}/\left ( 27\times x^{-3} \right ) \right )^{2/3}\times \left ( 64\times a^{3} /\left ( 27\times x^{-3} \right )\right )^{-2/3}$

$=\left ( 2\times a\times x/3 \right )^{3\times 2/3}\times \left ( 4\times a\times x/3 \right )^{3\times( -2/3)\}$

$=\left ( 2/3\times a\times x \right )^{2}\times \left ( 4/3\times a\times x \right )^{-2}$

$=\left ( 2/3\times a\times x \right )^{2}\times \left ( 3/\left ( 4\times a\times x \right ) \right )^{2}$

$=2^{2}\times a^{2}\times x^{2}/3^{2}\times 3^{2}/(4^{2}\times a^{2}\times x^{2})$

cancel the term which is present in numerator and denominator a,x,3

$=2^{2}/4^{2}$

$=\left ( 2/4 \right )^{2}$

$=\left ( 1/2 \right )^{2}$

$=1/4$

Answer 2

Here is your answer