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Simplify. Express your answer using positive exponents.\newline(4m4)(6m6)(4m^4)(6m^6)

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Q. Simplify. Express your answer using positive exponents.\newline(4m4)(6m6)(4m^4)(6m^6)
  1. Identify Components: Identify the components of the expression that can be combined.\newlineWe have two terms, 4m44m^4 and 6m66m^6, which can be multiplied together. We will group the coefficients (44 and 66) and the variables with exponents (m4m^4 and m6m^6).
  2. Multiply Coefficients: Multiply the coefficients.\newlineMultiply the numerical coefficients 44 and 66 together.\newline4×6=244 \times 6 = 24
  3. Apply Product Rule: Apply the product rule for exponents.\newlineWhen multiplying powers with the same base, we add the exponents.\newlinem4×m6=m(4+6)=m10m^4 \times m^6 = m^{(4+6)} = m^{10}
  4. Combine Results: Combine the results from Step 22 and Step 33.\newlineWe have found that 4×6=244 \times 6 = 24 and m4×m6=m10m^4 \times m^6 = m^{10}. Now we combine these results to write the expression in its simplest form.\newline(4m4)(6m6)=24m10(4m^4)(6m^6) = 24m^{10}

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