Question

Write 9^3 x 27^2 as a single power of 3

Answer 1

3^12

Explanation:

9³=(3²)³=3^6

27²=(3³)²=3^6

So together, it is 3^12

Answer 2

3^12

Explanation:

9^3 x 27^2

Rewrite 9 as 3^2 and 27 as 3^3

3^2^3 * 3^3^2

We know that a^b^c = a^(b*c)

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

3^6 * 3^6

We know that a^b * a^c = a^(b+c)

3^(6+6)

3^12