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Simplify.
(6g^(4)h^(3))(7gh)

Simplify. $\newline$ $\left(6 g^{4} h^{3}\right)(7 g h)$

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Evaluate rational exponents

Full solution

Q. Simplify.

\newline

\left(6 g^{4} h^{3}\right)(7 g h)

Multiply Coefficients: Multiply the coefficients (numerical parts) of the two terms. $6 \times 7 = 42$
Multiply Variables with Exponents: Multiply the variables with the same base by adding their exponents according to the rule $(a^m)(a^n) = a^{(m+n)}$ . $\newline$ For the variable $g$ , we have $g^4 \times g^1$ (since $g = g^1$ ), so we add the exponents $4$ and $1$ to get $g^{(4+1)} = g^5$ . $\newline$ For the variable $h$ , we have $h^3 \times h^1$ (since $h = h^1$ ), so we add the exponents $g$ $0$ and $1$ to get $g$ $2$ .
Combine Results: Combine the results from Step $1$ and Step $2$ to write the simplified expression. $\newline$ The final simplified expression is $42g^5h^4$ .

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