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Evaluate. Write your answer as a whole number or as a simplified fraction. $\newline$ $4^{2}\cdot4^{2}=$

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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

4^{2}\cdot4^{2}=

Understand operation with exponents: Understand the operation to perform with the exponents. $\newline$ When multiplying powers with the same base, we add the exponents according to the exponent rule $a^m \times a^n = a^{(m + n)}$ .
Apply exponent rule: Apply the exponent rule to the given expression. $\newline$ Combine the exponents by adding them together. $\newline$ $4^{2} \times 4^{2} = 4^{2 + 2} = 4^{4}$
Calculate value of $4^4$ : Calculate the value of $4^4$ . $\newline$ Multiply $4$ by itself four times. $\newline$ $4^4 = 4 \times 4 \times 4 \times 4 = 16 \times 16 = 256$

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