Question

6³=216. Using exponents, write three expressions whose value is 216.

Please help I don't understand.

Answer 1

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Answer:

216 = 2³·3³ = 8·3³ = 27·2³

Explanation:

6³ = 2·2·2·3·3·3

The string of factors can be grouped however you like, and any repeated factors in the group can be expressed using an exponent.

= 2·2²·3³

= 8·3³

= 6·2²·3²

= 6·6²

= 27·2³