Question

simplify the expression \\(\frac{w}{4^{-2}}\\). write your answer using only positive exponents.

Explanation:

Step1: Recall negative exponent rule

The negative exponent rule states that \(a^{-n}=\frac{1}{a^{n}}\), so \(\frac{1}{4^{-2}} = 4^{2}\).

Step2: Calculate \(4^{2}\)

\(4^{2}=4\times4 = 16\).

Step3: Multiply by \(w\)

Multiply \(w\) with the result from Step 2, so we get \(16w\).

Answer:

\(16w\)