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Simplify. Express your answer using positive exponents.\newline(7g)(3g3)(7g)(3g^3)

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Q. Simplify. Express your answer using positive exponents.\newline(7g)(3g3)(7g)(3g^3)
  1. Identify Components: Identify the components of the expression.\newlineWe have two factors, 7g7g and 3g33g^3, which we need to multiply together. We will group the coefficients (77 and 33) and the powers of gg (gg and g3g^3) separately.
  2. Multiply Coefficients: Multiply the coefficients.\newlineMultiply the numerical coefficients 77 and 33 together.\newline7×3=217 \times 3 = 21
  3. Multiply Powers: Multiply the powers of gg. When multiplying powers with the same base, we add the exponents. Since gg is the same as g1g^1, we have g1×g3g^1 \times g^3. Using the rule of exponents, we add the exponents: 1+3=41 + 3 = 4. So, g1×g3=g1+3=g4g^1 \times g^3 = g^{1+3} = g^4.
  4. Combine Results: Combine the results from Step 22 and Step 33.\newlineWe have the coefficient 2121 from Step 22 and the power of gg, g4g^4, from Step 33. We combine these to get the final simplified expression.\newline21×g4=21g421 \times g^4 = 21g^4

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