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.(1 point)

Question

2^2/2^−4 = ______

Answer 1

To generate equivalent expressions with only positive exponents, we can use the properties of integer exponents.

First, let's simplify the expression using these properties:

2^2/2^(-4)

Using the property a^m/a^n = a^(m-n):

2^(2-(-4))

Simplifying the exponent:

2^(2+4)

Adding the exponents:

2^6

Therefore, the equivalent expression with only positive exponents is 2^6.

To solve the expression and provide the solution as a whole number, we evaluate 2^6:

2^6 = 2 × 2 × 2 × 2 × 2 × 2 = 64

Therefore, the solution as a whole number is 64.