Question

Apply the properties of integers exponents to generate equivalent expressions to 2^2/2^-4 what only positive exponents, then solve the expression, but in a whole number

Answer 1

To generate an equivalent expression with only positive exponents, we can use the property of negative exponents, which states that any number raised to a negative exponent can be rewritten as the reciprocal of the number raised to the positive exponent.

Simplifying the expression 2^2/2^-4 using this property, we have:

2^2 / 2^-4
= 2^(2 + 4)
= 2^6

Now, solving the expression, we get:

2^6
= 2 × 2 × 2 × 2 × 2 × 2
= 64

So, the value of the expression 2^2/2^-4, with only positive exponents and in a whole number, is 64.