Exponent Rules

in words

100

same bases being multiplied, what happens to the exponents

they are added

200

single base with two exponents, what do you do to the exponents

multiply them

300

different bases being multiplied with the same exponents, what happens?

multiply the bases and keep the same exponent

400

A fraction raised to an exponent, what do you do?

raise the numerator and denominator to the same exponent

500

a base raised to a fraction, what do you do?

rewrite it with a square root symbol. numerator is the exponent and the denominator goes on the outside

simplify

100

(4³)(3³)

12³

200

(7¹⁰)/(7⁷)=

7³

300

(5³)²

5⁶

400

(3/4)⁷

3⁷/4⁷

500

12^-3

1/12³

evaluate

100

67⁰=

1

200

(3²)(3³)=

3⁵=243

300

9^-3=

1/9³= 1/729

400

(2/3)⁴=

(2⁴/3⁴)= 16/81

500

7^3/2=

square root of 343

random

100

anything raise to the zero power always equals...

one

200

what does evaluate mean

to find the answer (use calculator)

300

(4³)(4³)=

4⁶= 4,096

400

What do you do when a base has a negative exponent?

rewrite it as a fraction...1 over the positive version

500

(5²)(6²)=

30²= 900