Answer:
(2xy)³
Step-by-step explanation:
According to the Power Rule of Exponents:
[tex](ab})^{m} = a^{m}b^{m}[/tex]
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
[tex]\\ \sf\longmapsto 8x^3y^3[/tex]
We know the rule of exponents
[tex]\boxed{\sf (ab)^m=a^mb^m}[/tex]
Now
[tex]\\ \sf\longmapsto 8x^3y^3[/tex]
[tex]\\ \sf\longmapsto 2^3x^3y^3[/tex]
[tex]\\ \sf\longmapsto (2xy)^3[/tex]
[tex]\\ \sf\longmapsto (2xy)(2xy)(2xy)[/tex]
