Please describe two laws of exponents and provide an example illustrating each law. Explain how to simplify your expression.

Expert Answers
crmhaske eNotes educator| Certified Educator

There are several laws of exponenets:

When multiplying exponents, add them:


When dividing exponents, subtract them:


When raising an exponent to another exponent, multiply them:


Here is an example that uses all three rules:


First, multiply the exponents raised to another exponent:


Next, subtract the divided exponents:


Finally, add the multiplied exponents:


mariloucortez eNotes educator| Certified Educator

Here are some of laws of exponent.

Any number or variable raised to 1 is equal to the number or variable itself.

`x^1 = x`

Example:  `5^1 = 5`

Any number or variable raised to 0 is equal to 1.

`x^0 = 1`

Example: `3^0 = 1`

Negative exponent means fraction.

 `x^-1 = 1/x`

Example: `4^-1 = 1/4`

`x^-n = 1/x^n`

Example: `5^-2 = 1/5^2 = 1/25`

You can try the link below for an image of the other rules...