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Simplify. Express your answer using positive exponents. $\newline$ $\frac{8g^8}{2g^8}$

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Simplify exponential expressions using the multiplication rule

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Q. Simplify. Express your answer using positive exponents.

\newline

\frac{8g^8}{2g^8}

Write Expression: Write down the given expression. $\newline$ The given expression is $\frac{8g^8}{2g^8}$ . We need to simplify this expression.
Simplify Coefficients: Simplify the coefficients. $\newline$ Divide the coefficients $8$ by $2$ . $\newline$ $\frac{8}{2} = 4$
Simplify Variables: Simplify the variables with exponents. $\newline$ Since the bases are the same $g$ and the exponents are equal $8$ , we can divide $g^8$ by $g^8$ . $\newline$ $g^8 / g^8 = g^{8-8} = g^0$
Recall Exponent Rule: Recall that any non-zero number raised to the power of $0$ is $1$ . $\newline$ $g^0 = 1$
Combine Results: Combine the results from Step $2$ and Step $4$ . $\newline$ $4 \times g^0 = 4 \times 1 = 4$

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