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Question from Ezra, a student:

i cant figure out this question. Can you please help
ezra

product of power (6x4)3

Hi Ezra,

\[(6 \times 4)^3 = (6 \times 4)\times(6 \times 4)\times(6 \times 4) = 24 \times 24 \times 24\]

but, since you can rearrange the order of multiplication

\[(6 \times 4)\times(6 \times 4)\times(6 \times 4) = 6 \times 6 \times 6 \times 4 \times 4 \times 4 = 6^3 \times 4^3\]

there are at least two ways to complete your calculation.

First you can multiply $24 \times 24 \times 24$ or you can calculate $6^3$ and $4^3$ and multiply the results.

Penny

 

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