Question

evaluate 32⅖ pls answer me​

Answer 1

Answer: 4

Explainations:

One of the laws of indices deals with cases where there are powers and roots at the same time.

x p/q=q√xp=(q√x)p

The denominator shows the root and the numerator gives the power.

Note that the power can be inside or outside the root.

I prefer to find the root first, and then raise to the power because this keeps the numbers smaller. They can usually be calculated mentally rather than needing a calculator

32 2/5=(5√32)2

=2to the power 2

(2⋅2⋅2⋅2⋅2=2tothepower5=32)

=4

Compare this with the other method of squaring first.

5√32 to the power 2=5√1024

=4

While I know that 25=32, the square of 32 and the fifth root of 1024 are not facts that I would be able to recall from memory.