Question

6^3=216. Using exponents, write three more expressions whose value is 216.

Answer 1

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Explanation:

Answer 2

`216^1`

`(2^3)(3^3)`

`(2*2^2)(3*3^2)`

Explanation:

To solve this exercise you must keep on mind that according to the exponents rules:

`(a^m)(a^n)=a^((m+n))`

`a^1=a`

1) Therefore, you can write 216 as:

`216^1`

Because:
`216^1=216`

2) Descompose the number 216 into its prime factors, then:

`216=2*2*2*3*3*3=(2^3)(3^3)`

Then you can write the number 216 as
`(2^3)(3^3)`

3) You can also write 216 as following:

`(2*2^2)(3*3^2)`