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Simplify. Express your answer using positive exponents. $\newline$ $\frac{3b^4}{3b}$

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Multiply powers: variable bases

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Q. Simplify. Express your answer using positive exponents.

\newline

\frac{3b^4}{3b}

Identify Common Terms: Write down the expression and identify the common terms in the numerator and the denominator. $\newline$ The expression is $\frac{3b^4}{3b}$ . We can see that both the numerator and the denominator have the common terms $3$ and $b$ .
Divide Coefficients and Exponents: Divide the coefficients and subtract the exponents of the common base. $\newline$ We divide the coefficients $\frac{3}{3}$ and subtract the exponents of $b$ $\frac{b^4}{b^1} = b^{4-1}$ . $\newline$ $\frac{3}{3} = 1$ $\newline$ $\frac{b^4}{b^1} = b^{4-1} = b^3$
Write Simplified Expression: Write down the simplified expression. $\newline$ Since $\frac{3}{3}$ is $1$ , it does not need to be written in the expression. The simplified expression is $b^3$ .
Check for Errors: Check for any mathematical errors. $\newline$ We divided the coefficients correctly and subtracted the exponents correctly. There are no mathematical errors.

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