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