## What happens when you divide exponents?

To divide exponents (or powers) with the same base, subtract the exponents. Division is the opposite of multiplication, so it makes sense that because you add exponents when multiplying numbers with the same base, you subtract the exponents when dividing numbers with the same base.

**Why do units cancel out?**

A unit will cancel out if it appears in both the numerator and the denominator during the equation. Multiply through to get your final answer.

### Does dividing cancel units?

Unit Cancellation is just a method of converting numbers to different units. Let the units tell you whether you should multiply or divide by a conversion factor. This is how we convert miles into ft. We always write conversion factors so that the unit we are changing from is on the bottom so they cancel out.

**How do you convert from one unit to another?**

A conversion factor is a number used to change one set of units to another, by multiplying or dividing. When a conversion is necessary, the appropriate conversion factor to an equal value must be used. For example, to convert inches to feet, the appropriate conversion value is 12 inches equal 1 foot.

## Do units cancel when dividing?

Unit Cancellation is just a method of converting numbers to different units. Let the units tell you whether you should multiply or divide by a conversion factor. We always write conversion factors so that the unit we are changing from is on the bottom so they cancel out.

**How will you convert one unit to a smaller unit?**

To convert from a larger unit to a smaller one, multiply. To convert from a smaller unit to a larger one, divide.

### When to cancel and subtract negative exponents?

Subtracting them when we divide. Canceling and combing terms when we multiply and divide rational expressions. Negative exponents don’t have to be confusing, they’re just rational expressions in disguise. Just move that term to the denominator if it’s in the numerator, the numerator if it’s in the denominator, or reciprocal it if it’s neither.

**When do you have to divide exponents with different bases?**

Dividing exponents with different bases. When the bases are different and the exponents of a and b are the same, we can divide a and b first: a n / b n = (a / b) n. Example: 63 / 23 = (6/2)3 = 33 = 3⋅3⋅3 = 27. When the bases and the exponents are different we have to calculate each exponent and then divide:

## Is it possible to cancel out all units in a fraction?

When you multiply fractions, the numerators multiply together, and the denominators multiply together. So our problem can be written as: = (16 mi x min)/ (8 min). Now, to simplify this fraction, we are allowed to cancel out any unit that appears both in the numerator and in the denominator.

**When do you use the unit cancellation method?**

This step is important in the unit cancellation method. When you multiply a number or variable by 1, the value is unchanged. Step D restates the example problem. In Step E, multiply both sides of the equation by 1 and substitute the left side’s 1 with the value in step C. Step F is the unit cancellation step.