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Evaluate. Write your answer as a whole number or as a simplified fraction. $\newline$ $2^{2}\cdot2^{2}=$

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Evaluate expressions using exponent rules

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Q. Evaluate. Write your answer as a whole number or as a simplified fraction.

\newline

2^{2}\cdot2^{2}=

Performing Exponent Operation: $2^2 \times 2^2$ $\newline$ What operation should we perform with the exponents, $2$ and $2$ ? $\newline$ When we multiply powers with the same base, we add the exponents. $\newline$ $a^m \times a^n = a^{(m + n)}$
Rewriting as a Single Power: $2^2 \times 2^2$ $\newline$ Rewrite this expression as a single power of $2$ . $\newline$ Add the exponents. $\newline$ $2^2 \times 2^2$ $\newline$ = $2^{(2 + 2)}$ $\newline$ = $2^4$
Simplifying $2^4$ : Simplify $2^4$ .\(2^4\) $= 2 \times 2 \times 2 \times 2$ $= 16$

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