Simplify (4w^3-2w^2)*(10w^4)

Problem

(4*w^3−2*w^2)⋅(10*w^4)

Solution

1. Distribute the term 10*w^4 to each term inside the parentheses.

10*w^4⋅4*w^3−10*w^4⋅2*w^2

2. Multiply the coefficients and apply the product rule for exponents, which states w^a⋅w^b=w^(a+b)

40*w^(3+4)−20*w^(2+4)

3. Simplify the exponents to find the final expression.

40*w^7−20*w^6

Final Answer

(4*w^3−2*w^2)*(10*w^4)=40*w^7−20*w^6

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