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 \( (2x^3y)^3 \) 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:

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

So the final answer in exponent form is \( 8x^9y^3 \).

The correct response is:

8x to the 9th power y cubed.