Q. Simplify. Express your answer using positive exponents.(5u)(2u9)
Identify Components: Identify the components of the expression.We have two factors, 5u and 2u9, which we need to multiply together. We will group the coefficients (5 and 2) and the powers of u (u and u9) separately.
Multiply Coefficients: Multiply the coefficients.Multiply the numerical coefficients 5 and 2 together.5×2=10
Apply Product Rule: Apply the product rule for exponents.When multiplying powers with the same base, we add the exponents. Since u has an implied exponent of 1, we have u1×u9.u1×u9=u(1+9)=u10
Combine Results: Combine the results from Step 2 and Step 3.We found that 5×2=10 and u1×u9=u10. Now we combine these results to write the expression in its simplest form.(5u)(2u9)=10×u10=10u10
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