Exponent Rules!

Product Rule

100

When you have two exponents of the same base are being multiplied, you keep the base and _________ the exponents!

ADD!

200

x^12*x^6*x

x^19

300

x^7*x^0*x^4

x^11

400

x^4y^5*x^4y

x^8y^6

500

x^-12y^3*x^3y^6

(y^9)/(x^9)

Power Rule

100

When you have a power raised to a power, you keep the base and _________ the exponents!

MULTIPLY!

200

(x^4)^8

x^32

300

(10z^5)^2

100z^10

400

(-5k^4)^2

25k^8

500

(3x^2y^3)^4

81x^8y^12

Quotient Rule

100

When you have two exponents of the same base are being divided, you keep the base and _________ the exponents!

SUBTRACT!!

200

x^8/x^3

x^5

300

(2x^20)/(2x^19)

x

400

(14x^8)/(6x)

(7x^7)/3

500

(3^4x^7)/(3^3x^2)

3x^5

Negative & Zero Rule

100

ANY nonzero number, raised to the power of 0 = _____.

1

200

When there is a negative exponent, you must make the exponent positive by ______________________.

Putting it as a fraction 1 over and the positive exponent.

1/

300

1,000,000^0

1

400

2^-5

1/32

500

4^-3

1/64

Simplifying

100

13x^-7y

(13y)/x^7

200

(4x)^0*5y^0

5

300

7cd^9*4c^4d^3

28c^5d^12

400

(5^-2(a^5)^2)/(a^6a^4)

1/25

500

(3y^12x^5)/(27x^3y)

(y^11x^2)/9