# Rules of How to Combine Exponents

Save

Exponents are used to shorten expressions by simplifying like terms that are multiplied. For example, the expression z z z could be simplified using exponents because there are like terms. Since there are three Zs being multiplied, it would be simplified to z ^ 3. Z is the base and three is the exponent.

### Things You'll Need

• Calculator
• Add the exponents if the terms are being multiplied. X ^3 * X ^ 2 would be simplified to X ^ 5 because 2 + 3 = 5.

• Subtract the exponents if the terms are being divided. C ^ 9 / C ^ 2 would be simplified to C ^ 7 because 9 - 2 = 7.

• Multiply the exponents if the term is being raised to a power. (Y^3)^4 would be simplified to Y ^ 12 because 3 * 4 = 12.

## Tips & Warnings

• Only exponents with common bases can be combined. For example, x ^ 3 * y ^ 3 cannot be simplified.

## References

Promoted By Zergnet

### You May Also Like

• Exponent Rules for Subtraction

Algebra, with its introduction of letters into math and abstract thinking, causes frustrations for many math students. One if its most daunting...

• How to Do Exponents

Solve math problems with exponents by taking exponent numbers with the same base and adding or subtracting the exponents. Use addition if...

• How to Multiply Exponents

An exponent is a small number that appears to the upper right of a base number and it tells you the power...

• How to Convert Exponents With Different Bases

In high school math, you convert exponents with different bases to like bases in order to simplify math expressions. For example, to...

• How to Calculate the MACD Histogram

Compute the 26 day exponential moving average of the stock, bond, equity, futures, or currency under study. The exponential moving average is...

## Related Searches

### Add Extra Love to Kids' Lunchboxes with These Creative Ideas

M
Is DIY in your DNA? Become part of our maker community.