Write an expression that simplifies to $x^3$ using the Quotient of Powers

Write an expression that simplifies to ${\mathrm{x}}^{24}$ using the Power of a Power Property.

Write an expression that simplifies to $x^{-4}$

Explain how to use properties of powers to simplify the expression $27•3^2.$

Simplify the expression. Write your answer as power.

$\frac{8^8}{8^5}$

A ski resort makes snow using a snow fan that costs $\$1200$. The fan has an average daily operation cost of $\$9.50$. Write and interpret a simplified expression that represents the cost to purchase and operate $6$ snow fans.