Simplify b^4(1/3b^2)(12b^-8)

Problem

b4*(1/3*b2)*(12*b(−8))

Solution

1. Group the coefficients and the variables separately to organize the expression.

b4⋅1/3⋅b2⋅12⋅b(−8)

(1/3⋅12)⋅(b4⋅b2⋅b(−8))

2. Multiply the numerical coefficients by calculating one-third of twelve.

1/3⋅12=4

3. Apply the product rule for exponents by adding the powers of the base b

b(4+2+(−8))

b(6−8)

b(−2)

4. Combine the results into a single expression.

4*b(−2)

5. Rewrite with positive exponents if required, by moving the base to the denominator.

4/(b2)

Final Answer

b4*(1/3*b2)*(12*b(−8))=4/(b2)

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