2^2/2^-4

1 answer

To solve this expression, you can follow the order of operations which is Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

Using exponent rules, we can simplify the expression as follows:

2^2 ÷ 2^-4

= (2^2) ÷ (1/2^4)

= (2^2) ÷ (2^(-4))

= 2^(2 - (-4))

= 2^(2 + 4)

= 2^6

= 64

Therefore, 2^2 ÷ 2^-4 equals 64.