Q. Simplify. Express your answer using positive exponents.5b410b
Write Expression: Write down the given expression.The given expression is 5b410b. We need to simplify this expression by dividing the coefficients and subtracting the exponents of like bases.
Divide Coefficients: Divide the coefficients.Divide 10 by 5 to get 2.10/5=2
Apply Quotient Rule: Apply the quotient rule for exponents.When dividing powers with the same base, subtract the exponents.b4b=b(1−4)=b−3
Combine Results: Combine the results from Step 2 and Step 3.The simplified expression is 2⋅b−3. However, the question prompt asks for positive exponents.
Express Positive Exponent: Express the negative exponent as a positive exponent.To express b−3 with a positive exponent, we write it as 1/b3.So, 2×b−3=2/b3
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