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$2^{204}+2^{204}$ =

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Factor quadratics

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Q.

2^{204}+2^{204}

=

Identify Operation: Identify the operation to be performed on the given expressions. $\newline$ We are asked to find the sum of $2^{204}$ and $2^{204}$ .
Apply Exponent Property: Apply the property of exponents for terms with the same base and exponent when added together. $\newline$ When we add two identical terms, it is equivalent to multiplying the term by $2$ . $\newline$ So, $2^{204} + 2^{204} = 2 \times 2^{204}$ .
Simplify Using Laws: Simplify the expression using the laws of exponents. $\newline$ $2 \times 2^{204}$ can be written as $2^{1} \times 2^{204}$ . $\newline$ According to the laws of exponents, when we multiply terms with the same base, we add the exponents. $\newline$ So, $2^{1} \times 2^{204} = 2^{1+204} = 2^{205}$ .
Conclude with Answer: Conclude with the final answer. $\newline$ The sum of $2^{204}$ and $2^{204}$ is $2^{205}.$

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