Question

Find the value of (512)
^2/9​

Answer 1

Answer:

plz make brainlist plz

Step-by-step explanation:

Answer:

(512)^{-\frac{2}{9}}=\frac{1}{4}(512)−92=41

Step-by-step explanation:

Given : Expression (512)^{-\frac{2}{9}

To find : The value of the expression ?

Solution :

First we factor 512 so that we get to convert it into the power,

512=2\times 2\times 2\times 2\times 2\times 2\times 2\times 2\times 2512=2×2×2×2×2×2×2×2×2

512=2^9512=29

Substitute in expression,

(512)^{-\frac{2}{9}}=(2^9)^{-\frac{2}{9}}(512)−92=(29)−92

(512)^{-\frac{2}{9}}=(2)^{-\frac{2\times 9}{9}}(512)−92=(2)−92×9

(512)^{-\frac{2}{9}}=(2)^{-2}(512)−92=(2)−2

(512)^{-\frac{2}{9}}=\frac{1}{2^2}(512)−92=221

(512)^{-\frac{2}{9}}=\frac{1}{4}(512)−92=41

Answer 2

ANSWER

$\huge\sf\pink{☞\:4}$

EXPLANATION

$\huge\sf\purple{→(512)^{{\frac{2}{9}}}}$

$\sf{✷ \:8³ \:= \:8×8×8 \:= \:512 }$

$\huge\sf\red{→(8^{3})^{{\frac{2}{9}}}}$

$\huge\sf\green{→(8)^{{\frac{3×2}{9}}}}$

$\sf{✷\: 2³\: = \:2×2×2\: =\: 8}$

$\huge\sf\blue{→(2^{3})^{{\frac{2}{3}}}}$

$\huge\sf{→(2)^{{\frac{3×2}{3}}}}$

$\huge\sf\orange{→(2)^{2}}$

$\huge\sf\green{→4}$