# Chapter 7 - Exponents and Exponential Functions - 7-4 Division Properties of Exponents - Practice and Problem-Solving Exercises - Page 442: 21

$\frac{t^{11}}{27m^{2}}$

#### Work Step by Step

When dividing exponents with the same base, we subtract the exponents and keep the same base: $3^{2 - 5}m^{5 - 7}t^{6 - (-5)}$ Subtract the exponents: $3^{-3}m^{-2}t^{11}$ We cannot leave the answer this way with negative exponents. With negative exponents, we move the bases into the denominator, which will make the exponents positive: $\frac{t^{11}}{3^{3}m^{2}}$ Simplify: $\frac{t^{11}}{27m^{2}}$

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