Question

find the value of (64/125)_2/3.​

Answer 1

Answer:

Here 64/125=0.512

Step-by-step explanation:

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Answer 2

Answer:

How do you solve (64/125) ^-2/3?

A2A

You don’t solve it. But you can find another numerical expression of it.

You have to remember that

abc=acbc

a−b=1ab

abc=abc

And, finally, when operating solely on positive numbers,

a1b=a−−√b

Now, we can write that

(64125)−23=(64125)(−1)23=((64125)−1)23=(164125)23=(12564)23=((12564)13)2=(125136413)2=(125−−−√364−−√3)2=(53−−√343−−√3)2=(54)2=5242

(64125)−23=2516

Here 64/125=0.512

Therefore (64/125)^-2/3=0.512^-2/3

Now we know that:

anyNumber^1/3=cuberoot of anyNumber^1

Therefore

0.512^-2/3=coberoot of 0.512^-2=(0.512^-2)^1/3

Now,

(0.512^-2)^1/3=(1^2/0.512^2)^1/3=(1/0.262144)^1/3

Next,

1/0.262144=3.8146972656

Therefore,

(1/0.262144)^1/3=3.8146972656^1/3

Now,

Cuberoot of 3.8146972656=0.015625

Therefore,

(64/125)^-2/3=0.015625

Step-by-step explanation:

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