Question

Evaluate the following using Laws of Exponents
a) {(4/-3) 3} 2

Answer 1

Answer: So to solve (4)^3/2 ,you have to realize that you need to remove the denominator in the exponent value which in this case is 2

In order to remove the 2,you would need a 2 in the numerator of the exponent .While understanding all this the value 4 can be equated as 2^2.

Thus your means of getting a 2 in the numerator is solved by simply replacing the 4 with 2^2

Thus what you will get is (2^2)^3/2

Now we have a property in exponent where

(x^m)^n = (x)^mn

Thus (2^2)^3/2 = (2)^3 = 8

Hope this helps you in understanding how to solve exponent based questions !