Math 1 Exponents and Radical Exponent

Forumlas

100

What is the power rule

(a^m)ⁿ=a^mxn

200

Exponent Form

a^m/n

300

Rational Exponent

nsqrt(a^m)

400

Quotient Rule

a^m/aⁿ=a^m-n

500

Radical Equation 

a^m/n=nsqrt(a^m)=(nsqrt(a))^m

Exponent Rules

100

Power Rule

(x^b)^a=x^bxa

200

Quotient Rule

a^m/aⁿ=a^m-n

300

Product Rule

(X^a)(x^b)=x^a+b

400

Negtive Rule

x^-a=1/x^a

500

Zero and One rule

x⁰=1    x¹=x

Radical Exponents

100

3^1/2

sqrt(3)

200

6sqrt(x)

x^1/6

300

x^7/6

⁶sqrt(x⁷)

400

sqrt(15)

15^1/2

500

(5n)^1/3

3sqrt(5n)

Finding the Exponent

100

6^x=1/216

x=-3

200

7^x+1=49^x

x=1

300

36^x=6^x-3

x=-3

400

(9^4x+10)(9^3x-6)=9⁷⁴

x=10

500

(x^1/4)(x^1/2)=4

x ~ 6.35

Squares and Cubes

100

25

5²

200

121

11²

300

6³

216

400

5³

125

500

13²

169