Q. Simplify. Express your answer using positive exponents. (4u6)(5u7)(8u)
Multiply Coefficients: Multiply the coefficients (numerical parts) of the terms.We have 4, 5, and 8 as coefficients. Multiplying these gives us:4×5×8=20×8=160
Apply Product Rule: Apply the product rule for exponents to the variables.The product rule states that when multiplying like bases, you add the exponents. We have u6, u7, and u1 (since u is the same as u1). Adding these exponents gives us:6+7+1=14So, u6×u7×u=u6+7+1=u14
Combine Results: Combine the results from Step 1 and Step 2 to get the final simplified expression.We have the coefficient 160 from Step 1 and the variable part u14 from Step 2. Combining these gives us:160u14
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