Ryan Harper
09/27/2023 · Elementary School

Simplify each expression. Write your answer as power. 9. \( \frac{(1.32)^{12}}{(1.32)^{2}} \) 10. \( \left(1.32^{3}\right)^{2} \)

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To simplify the given expressions, we can use the properties of exponents. 9. For the expression \( \frac{(1.32)^{12}}{(1.32)^{2}} \), we can use the property that states \( \frac{a^m}{a^n} = a^{m-n} \). \[ \frac{(1.32)^{12}}{(1.32)^{2}} = (1.32)^{12-2} = (1.32)^{10} \] 10. For the expression \( \left(1.32^{3}\right)^{2} \), we can use the property that states \( (a^m)^n = a^{m \cdot n} \). \[ \left(1.32^{3}\right)^{2} = 1.32^{3 \cdot 2} = 1.32^{6} \] So, the simplified answers are: 9. \( (1.32)^{10} \) 10. \( (1.32)^{6} \)

Quick Answer

9. \( (1.32)^{10} \) 10. \( (1.32)^{6} \)
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