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$Evaluate. Write your answer as a whole number or as a simplified fraction. 4^(2)*4^(2)= Submit$

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

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Evaluate expressions using exponent rules

Full solution

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

\newline

4^{2} \cdot 4^{2}=

\newline

Submit

Identify Operation: Identify 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. $4^2 \times 4^2$ can be rewritten as a single power of $4$ by adding the exponents: $4^{(2 + 2)} = 4^4$ .
Simplify Expression: Simplify the expression $4^4$ . Calculate the value of $4$ raised to the power of $4$ : $4^4 = 4 \times 4 \times 4 \times 4 = 16 \times 16 = 256$ .

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