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Simplify. Express your answer using positive exponents. $\newline$ $\frac{4t^8}{4t}$

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Multiply powers: variable bases

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Q. Simplify. Express your answer using positive exponents.

\newline

\frac{4t^8}{4t}

Write Expression: Write down the given expression. $\newline$ The given expression is $\frac{4t^8}{4t}$ .
Simplify Coefficients: Simplify the coefficients. $\newline$ Divide the coefficients $4$ by $4$ . $\newline$ $\frac{4}{4} = 1$
Simplify Variables: Simplify the variables with exponents. $\newline$ When dividing powers with the same base, subtract the exponents. $\newline$ $t^8 / t^1 = t^{(8-1)} = t^7$
Combine Results: Combine the results from Step $2$ and Step $3$ . $\newline$ Since $4/4$ is $1$ , it does not need to be written in the final expression. $\newline$ The simplified form is $t^7$ .

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