Question

Plz help which expression is equivalent to 4-2/2^-3

8

16

-8

-16

Answer 1

The answer is 16.

Explanation:

In this expression 4-2/2^-3, first of all we will solve the numerator.

Subtract 4 and 2

4-2= 2

So, the expression will become 2/2^-3

Now notice that the numerator has the base 2 and exponent 1 where as the denominator has the base 2 and exponent -3. Both the numerator and denominator have the same base

So we will use the property a^m/a^n=a^m-n.

=2/2^-3

=2^1-(-3)

=2^1+3

=2^4

2^4 means that 2 will be multiplied 4 times.

=2*2*2*2

=16

Thus the answer is 16....