Question

What is the value of (1/16) ^-3/2?

Answer 1

64

Answer 2

How do you solve it?

Answer 3

Calc.

Answer 4

Without a calc?

Answer 5

it can be solved.

Answer 6

when you raise something to a negative value you flip the fraction so...

Answer 7

-ve exponent means invert the fraction..so

16^3/2

then , this can be written as.

\[\Huge \sqrt{(16)^3}\]

sqrt of 16 is 4.

4^3

4*4*4 = 64

Answer 8

Ohh kk thanx.

Answer 9

you have (16)^(3/2)

and we know that squaring something is raising it to the "(1/2)" and we have that so we take the 3 out of the fraction and and save it for later.

now all we have left is 16^(1/2)=sqrt(16)=4

now at the end we bring back the ^3 and cube the 4 thus getting 64