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# What is the value of $4^{10} \times 8^{20}$? Express your answer in the form $a^b$, where $a$ and $b$ are positive

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What is the value of $4^{10} \times 8^{20}$? Express your answer in the form $a^b$, where $a$ and $b$ are positive integers such that $a$ is the least possible positive integer.

Feb 14, 2021

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4 = 22 and 8 = 23

410 = (22)10 = 220

820 = (23)20 = 260

220 x 260 = 2(20 + 60) = 280, which is your answer :)

Feb 14, 2021