16 raise to -3/4

Asked by sarthaksuryawanshi74.8spicertl | 3rd Jun, 2020, 04:05: PM

Expert Answer:

To find the value of 16-3/4
We are going to use the property of exponents i.e. (am)n = amn
16-3/4 = (24)-3/4 = 24x-3/4 = 2-3     .... Because 4 x -3/4 = -3
Therefore, 16-3/4 = 2-3 = 1/23 = 1/8     ... Using the property a-m = 1/am and we know that 23 = 8
Hence, 16-3/4 = 1/8

Answered by Renu Varma | 3rd Jun, 2020, 04:15: PM