Question

How to solve this? (49/16)^-(3/2)

Answer 1

The value is `64/343`. See explanation.

Explanation:

`(49/16)^(-3/2)=(16/49)^(3/2)=(4/7)^3=64/343`

In the first step I used the rule:

`a^-b=(1/a)^b`

Next step follows the rule:

`a^(1/b)=root(b)(a)`

In the final step i raised both numerator and denominator to the third power according to the rule:

`(a/b)^c=(a^c)/(b^c)`