Simplify b^8(2b)^6

Problem

b8*(2*b)6

Solution

1. Apply the power of a product rule to the term (2*b)6 by raising both the coefficient and the variable to the power of 6

(2*b)6=2⋅b6

2. Evaluate the numerical constant 2

2=64

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

b8⋅64*b6

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

64⋅b(8+6)

5. Simplify the exponent to find the final result.

64*b14

Final Answer

b8*(2*b)6=64*b14

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