Asked by anon ^
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)
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GPT 3.5
To apply the properties of integer exponents, we can use the rule that states "a^m / a^n = a^(m-n)".
In this case, we have 2^2 / 2^(-4). Using the above rule, we can rewrite this expression as 2^(2-(-4)) = 2^(2+4) = 2^6.
Now, to solve the expression, we can simply calculate 2^6.
2^6 = 2 * 2 * 2 * 2 * 2 * 2 = 64.
Therefore, the solution to the expression is 64.
In this case, we have 2^2 / 2^(-4). Using the above rule, we can rewrite this expression as 2^(2-(-4)) = 2^(2+4) = 2^6.
Now, to solve the expression, we can simply calculate 2^6.
2^6 = 2 * 2 * 2 * 2 * 2 * 2 = 64.
Therefore, the solution to the expression is 64.
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