# How do you divide fractions with different exponents?

## How do you divide fractions with different exponents?

In order to divide exponents with different bases and the same powers, we apply the ‘Power of Quotient Property’ which is, am ÷ bm = (a ÷ b)m. For example, let us divide, 143 ÷ 23 = (14 ÷ 2)3 = 73.

What are the rules for multiplying and dividing exponents?

There are different rules to follow when multiplying exponents and when dividing exponents. If we are multiplying similar bases, we simply add the exponents. If we are dividing, we simply subtract the exponents. If an exponent is outside the parentheses, it is distributed to the inside terms.

What do you do with exponents when multiplying?

When you’re multiplying exponents, use the first rule: add powers together when multiplying like bases. 5^2 × 5^6 =? The bases of the equation stay the same, and the values of the exponents get added together.

### Do you add or multiply exponents when dividing?

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.

How do you multiply with exponents?

Multiplying exponents with different bases First, multiply the bases together. Then, add the exponent. Instead of adding the two exponents together, keep it the same. This is because of the fourth exponent rule: distribute power to each base when raising several variables by a power.

Do you multiply exponents when multiplying?

#### Do you distribute or exponents first?

Explanation: First simplify the expression inside the parentheses. Then distribute the exponent. Rearrange the expression so that there are no more negative exponents.

What are the rules for multiplying exponents?

When multiplying exponential expressions that have the same base, add the exponents. When dividing exponential expressions that have the same base, subtract the exponents. When raising an exponential expression to a new power, multiply the exponents.

Do you add exponents when multiplying?

The exponent “product rule” tells us that, when multiplying two powers that have the same base, you can add the exponents.

## What are the 5 rules of exponents?

Conclusion: exponent rules practice

• Product of powers rule — Add powers together when multiplying like bases.
• Quotient of powers rule — Subtract powers when dividing like bases.
• Power of powers rule — Multiply powers together when raising a power by another exponent.
• August 28, 2022