Write in exponent form: (2x3y)3

Question

(1 point)
Responses

2x6y3
2 x to the 6th power y cubed

2x9y3
2 x to the 9th power y cubed

6x6y3
6 x to the 6th power y cubed

8x9y3

Answer 1

To write $(2x^{3}y{)}^3$ in exponent form, we need to apply the power of a product rule, which states that $(ab{)}^n=a^n{b}^n$.

Applying this, we get:

$$(2{)}^3(x^3{)}^3(y{)}^3=2^3{x}^{3\cdot 3}{y}^3=8x^9{y}^3$$

So the final answer in exponent form is $8x^9{y}^3$.

The correct response is:

8x to the 9th power y cubed.