Question

Apply the Properties of Integer Exponents to generate equivalent expressions to 2^2\2^−4 with only positive exponents, then solve the expression. Provide the solution as a whole number.
2^2\2^−4=

Answer 1

To apply the properties of integer exponents, we can use the property that states "a^m / a^n = a^(m-n)".

Using this property, we can rewrite the expression as:
2^(2-(-4))

Simplifying the exponent inside the parentheses:
2^(2+4)

Adding the exponents:
2^6

Therefore, the equivalent expression to 2^2/2^(-4) with only positive exponents is 2^6.

To solve the expression, we can simplify 2^6:
2^6 = 64

So, the solution to the expression 2^2/2^(-4) is 64.