Exponent Review

exponent rules

100

   

x^a  x  x^b 

x^a+b

200

2⁴ x 2⁴ 

2⁸

300

(X x y)^a

 

X^a x y^a

400

4^-5 x 4³

1/4²

or

4^-2

500

(2^-3 x 2^-3)/2^-9

2³

different bases

100

3²  x 2³

3² x 2³ or 72

200

25³   x   5²

5⁸

300

9⁴/3²

3⁶

400

9⁵ x 3²

3¹²

500

(4^m x 6^2m)/12^m

2^m x 6^m or 2^2m x 3^m

different bases part 2

100

2⁵ x 1²

2⁵

200

5^-1 x 25²

5³

300

10^m/20^m

2^-m or 1/2^m

400

(6² x 3⁵)/4⁰

2² x 3⁷

500

(6²¹ x 10⁷)/30⁷

2²¹ x 3¹⁴

word problems

100

solve for m

2^2m=2²⁰

m=10

200

write 8 x 8 x 8 x 8 in exponential notation

8⁴

300

write in complete expanded form 0.2 in exponential notation

2 x 10^-1

400

write an equation to represent y, if x were to double proportionally

y=2^x

500

what is the current world population

about 8 billion 

Miscellaneous

100

what is exponential notation

a way of expressing a whole number using a base raised to a power, called the exponent

200

what is an integer

any positive, negative, or non-positive whole number without a fractional or decimal element

300

Using exponential notation, explain why 2³ x 2³= 2⁶

(2 x 2 x 2) x (2 x 2 x 2) = 2⁶

400

what is the opposite of doubling

dividing in half

500

what grade will i get on my test tomorrow

100% :)