## How do you divide exponents with fractions?

To divide them, you take the exponent value in the numerator (the top exponent) and subtract the exponent value of the denominator (the bottom exponent). Here that means we take 7 – 3 so our answer is x4.

How do you multiply powers with different bases and different exponents?

When multiplying exponents with different bases and the same powers, the bases are multiplied first. This can be written mathematically as an × bn = (a × b)n. When the exponents with different bases and different powers are multiplied, each exponent is evaluated separately and then multiplied.

### What are the five rules of exponents?

What are the different rules of exponents?

• Product of powers rule.
• Quotient of powers rule.
• Power of a power rule.
• Power of a product rule.
• Power of a quotient rule.
• Zero power rule.
• Negative exponent rule.

Do you add 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.

#### Can you multiply two exponents with different bases?

Multiplying exponents with different bases It is possible to multiply exponents with different bases, but there’s one important catch: the exponents have to be the same. First, multiply the bases together. Then, add the exponent. Instead of adding the two exponents together, keep it the same.

How do you add exponents with different bases?

Adding numbers with exponents. Adding exponents is done by calculating each exponent first and then adding: a n + b m. Example: 4 2 + 2 5 = 4⋅4+2⋅2⋅2⋅2⋅2 = 16+32 = 48. Adding same bases b and exponents n: b n + b n = 2b n. Example:

## Do you add exponents if they have the same base?

If the bases are the same, you will add the exponents of the bases together . If the bases are different, you will keep the exponents separate. If an exponents is negative, be sure to include the negative when adding.

What is the rule for dividing exponents?

The exponent rule for dividing exponential terms together is called the Quotient Rule. The Quotient Rule for Exponents states that when dividing exponential terms together with the same base, you keep the base the same and then subtract the exponents.

### How do I Divide exponents?

How to Divide Exponents. You can divide exponential expressions, leaving the answers as exponential expressions, as long as the bases are the same. 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…