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$Learn with an example or Watch a video Evaluate. Write your answer as a whole number or as a simplified fraction. 2^(2)*2^(2)=$

Learn with an example $\newline$ or $\newline$ Watch a video $\newline$ Evaluate. Write your answer as a whole number or as a simplified fraction. $\newline$ $2^{2} \cdot 2^{2}=$

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Q. Learn with an example

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Watch a video

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

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

Identify Bases and Exponents: Identify the bases and the exponents. $\newline$ In the expression $2^{2}\times2^{2}$ , the base is $2$ and it is raised to the exponent $2$ in both terms. $\newline$ Base: $2$ $\newline$ Exponent: $2$ for both terms
Apply Multiplication Rule: Apply the rule for multiplying powers with the same base. $\newline$ When multiplying powers with the same base, we add the exponents. $\newline$ So, $2^{2}\times2^{2}$ becomes $2^{2+2}$ .
Perform Exponent Addition: Perform the addition of the exponents. $2^{(2+2)}$ simplifies to $2^{4}$ .
Calculate Final Value: Calculate the value of $2$ raised to the $4$ th power. $\newline$ $2^{4}$ equals $2\times2\times2\times2$ which is $16$ .