Question

64/125)2/3÷(64/125)5/3 and (64/125)2/3-5/3
Solve It Properly​

Answer 1

Step-by-step explanation:

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

Thank you.