(4v³w)(-2w³)² in simplest form

16 v^3 w^7

Step-by-step explanation:

Simplify the following:

4 v^3 w (-2 w^3)^2

Hint: | Distribute exponents over products in (-2 w^3)^2.

Multiply each exponent in -2 w^3 by 2:

4 v^3 w×(-2)^2 w^(2×3)

Hint: | Multiply 2 and 3 together.

2×3 = 6:

4×(-2)^2 v^3 w w^6

Hint: | Evaluate (-2)^2.

(-2)^2 = 4:

4×4 v^3 w w^6

Hint: | Combine products of like terms.

4 v^3 w×4 w^6 = 4×4 v^3 w^(1 + 6):

4×4 v^3 w^(1 + 6)

Hint: | Evaluate 1 + 6.

1 + 6 = 7:

4×4 v^3 w^7

Hint: | Multiply 4 and 4 together.

4×4 = 16:

16 v^3 w^7