32 raise to the power - 2/5

Asked by sarthaksuryawanshi74.8spicertl | 3rd Jun, 2020, 04:01: PM

Expert Answer:

To find the value of 32-2/5
We are going to use the laws of exponents i.e. (am)n = amn and a-m = 1/am
32-2/5 = (25)-2/5 = 25x-2/5 = 2-2     .... Because 5 x -2/5 = -2
Therefore, 32-2/5 = 2-2 = 1/22 = 1/4     ... Using the property a-m = 1/am and we know that 22 = 4
Hence, 32-2/5 = 1/4.

Answered by Renu Varma | 3rd Jun, 2020, 04:19: PM