Question

**30 POINTS** PLEASE SOLVE Write 8x³y³ as the power of a product.

Answer 1

Answer:

(2xy)³

Step-by-step explanation:

According to the Power Rule of Exponents:

$(ab})^{m} = a^{m}b^{m}$

We can apply the Power Rule of Exponents to the given exponential expression, 8x³y³, by taking the smallest factor that when cubed (or raised to an exponent of 3), will produce the same results as the original exponential expression.

8 is a perfect cube of 2:  ⇒  2 × 2 × 2 = 2³ = 8

The cube of x is x³:   ⇒  x × x × x = x³

The cube of y is y³  ⇒  y × y × y  = y³

Hence, we can take the least common factors, (2xy) and raise them to the third power:

(2xy)³ = 2³x³y³ =  8x³y³

Therefore, the correct answer is: (2xy)³