Simplify b^8(2b)^3

Problem

b8*(2*b)3

Solution

1. Apply the power of a product rule to the term (2*b)3 by raising both the coefficient and the variable to the power of 3

(2*b)3=2*b3

2. Evaluate the numerical power by calculating 2 raised to the third power.

2=8

3. Substitute the simplified term back into the original expression.

b8⋅8*b3

4. Rearrange the expression to place the coefficient at the front.

8⋅b8⋅b3

5. Apply the product rule for exponents by adding the exponents of the terms with the same base b

b8⋅b3=b(8+3)

6. Simplify the exponent to find the final power of b

b11

Final Answer

b8*(2*b)3=8*b11

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