f. $$ \frac{15^{\frac{17}{6}}}{15^{\frac{5}{6}}} $$

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UpStudy AI · Accepted Answer

Calculate or simplify the expression $$ 15^{17/6} / 15^{5/6} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{15^{\frac{17}{6}}}{15^{\frac{5}{6}}}$$
- step1: Multiply by $$a^{-n}:$$
  $$15^{\frac{17}{6}}	imes 15^{-\frac{5}{6}}$$
- step2: Multiply:
  $$15^{\frac{17}{6}-\frac{5}{6}}$$
- step3: Subtract the numbers:
  $$15^{2}$$
- step4: Evaluate the power:
  $$225$$
Simplify the expression $$ 15^{17/6} \div 15^{5/6} $$ to $$ 15^{(17/6 - 5/6)} = 15^{12/6} = 15^2 = 225 $$.

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