Pre-Algebra Midterm Part 2

$$4x^2$$

72 mph

$$\frac{1}{7^2}$$

$$5^{-4}$$

3080 feet per minute

A unit rate is a comparison of two different quantities when they are combined together. It is expressed as a quantity per one unit.

When dividing like bases, subtract the exponents: $$\frac{a^m}{a^n} = a^{m-n}$$ .

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: $$a^{-n} = \frac{1}{a^n}$$ .

Multiply the speed in mph by 5280 (feet in a mile) and divide by 60 (minutes in an hour).

When multiplying like bases, add the exponents: $$a^m \cdot a^n = a^{m+n}$$ .