How do you simplify \((2xy^2)^3\)?

( 2 x y 2 ) 3 = ( 2 x y 2 ) ( 2 x y 2 ) ( 2 x y 2 ) Now, we can just multiply it and obtain the result ( 2 x y 2 ) ( 2 x y 2 ) ( 2 x y 2 ) = ( 4 x 2 y 4 ) ( 2 x y 2 ) = 8 x 3 y 6
I used law presented on this example 2 3 ∗ 2 = 2 3 ∗ 2 1 = 2 3 + 1 = 2 4

Answered by macio06 | 2024-06-10

To simplify ( 2 x y 2 ) 3 , use the power of a product rule by multiplying the coefficients and raising each variable to the power. The final simplified expression is (8x^{3}y^{6}.
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Answered by macio06 | 2024-10-07