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

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

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Evaluate powers with negative or zero exponents

Full solution

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

\newline

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

Identify Bases and Exponents: Identify the bases and the exponents. $\newline$ In the expression $4^{2}\times4^{2}$ , $4$ is the base which is raised to the exponent $2$ in both terms. $\newline$ Base: $4$ $\newline$ Exponent: $2$
Apply Exponent Rule: Apply the rule of exponents for multiplication. $\newline$ When multiplying two powers that have the same base, you can add the exponents. $\newline$ So, $4^{2}\times4^{2}$ becomes $4^{2+2}$ .
Calculate New Exponent: Calculate the new exponent. $\newline$ $2 + 2$ equals $4$ . $\newline$ So, $4^{2}\times4^{2}$ simplifies to $4^{4}$ .
Evaluate Exponential Expression: Evaluate $4^4$ . $4^4$ means $4$ multiplied by itself $4$ times, which is $4\times4\times4\times4$ .
Perform Multiplication: Perform the multiplication. $4*4*4*4$ equals $256$ .

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