Q. Simplify. Express your answer using positive exponents.(4m4)(6m6)
Identify Components: Identify the components of the expression that can be combined.We have two terms, 4m4 and 6m6, which can be multiplied together. We will group the coefficients (4 and 6) and the variables with exponents (m4 and m6).
Multiply Coefficients: Multiply the coefficients.Multiply the numerical coefficients 4 and 6 together.4×6=24
Apply Product Rule: Apply the product rule for exponents.When multiplying powers with the same base, we add the exponents.m4×m6=m(4+6)=m10
Combine Results: Combine the results from Step 2 and Step 3.We have found that 4×6=24 and m4×m6=m10. Now we combine these results to write the expression in its simplest form.(4m4)(6m6)=24m10
More problems from Simplify exponential expressions using the multiplication rule