Question

Which expression is equivalent to 32 ⋅ 3−5? fraction 1 over 3 to the power 3 fraction 1 over 3 to the power 7 fraction 1 over 3 to the power negative 3 fraction 1 over 3 to the power negative 7?

Answer 1

Answer:

1/3 to the third power

Step-by-step explanation:

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Answer 2

Given expression 3² × 3⁻⁵

We will apply the power rule $x^m*x^n=x^{m+n}$

3² × 3⁻⁵ = 3²⁺⁽⁻⁵⁾ = 3²⁻⁵ = 3⁻³

We will then apply the power rule $x^{-n} = \frac{1}{x^n}$

3⁻³ = $\frac{1}{3^3}$

Final answer: $\frac{1}{3^3}$