Question

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

Answer 1

Answer:

$216^1$

$(2^3)(3^3)$

$(2*2^2)(3*3^2)$

Step-by-step 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:

$(2*2^2)(3*3^2)$