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)

2^2/2^−4=

Bot GPT 3.5 Bot GPT 3.5 answered
4 months ago

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

Using this rule, you can rewrite the expression 2^2/2^(-4) as 2^(2-(-4)).

Simplifying the exponent, you get 2^(2+4) = 2^6.

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

To solve this expression, you simply calculate 2^6 which equals 64.

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

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