Q. Simplify. Express your answer using positive exponents.(7g)(3g3)
Identify Components: Identify the components of the expression.We have two factors, 7g and 3g3, which we need to multiply together. We will group the coefficients (7 and 3) and the powers of g (g and g3) separately.
Multiply Coefficients: Multiply the coefficients.Multiply the numerical coefficients 7 and 3 together.7×3=21
Multiply Powers: Multiply the powers of g. When multiplying powers with the same base, we add the exponents. Since g is the same as g1, we have g1×g3. Using the rule of exponents, we add the exponents: 1+3=4. So, g1×g3=g1+3=g4.
Combine Results: Combine the results from Step 2 and Step 3.We have the coefficient 21 from Step 2 and the power of g, g4, from Step 3. We combine these to get the final simplified expression.21×g4=21g4
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