Simplify Coefficients: Simplify the coefficients (numbers in front of the variables) by dividing 36 by 9. 36 ÷ 9 = 4Apply Quotient Rule: Apply the quotient rule for exponents which states that when dividing like bases, you subtract the exponents. t^(7) ÷ t^(3) = t^(7-3) = t^(4)Combine Results: Combine the results from Step 1 and Step 2 to get the final simplified expression. 4 * t^(4)

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$36 t^{7} \div 9 t^{3} =$

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Precalculus

Operations with rational exponents

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36 t^{7} \div 9 t^{3} =

Simplify Coefficients: Simplify the coefficients (numbers in front of the variables) by dividing $36$ by $9$ . $\newline$ $36 \div 9 = 4$
Apply Quotient Rule: Apply the quotient rule for exponents which states that when dividing like bases, you subtract the exponents. $\newline$ $t^{7} \div t^{3} = t^{7-3} = t^{4}$
Combine Results: Combine the results from Step $1$ and Step $2$ to get the final simplified expression. $\newline$ $4 \cdot t^{4}$