Product Rule
Power Rule
Quotient Rule
Exponential Notation
Zero and Negative Exponent Rules
100

m2m4

m6

100

(x2)2

x4

100

x/ x3

x2

100
What is 6 × 6 × 6 × 6 × 6 in exponential form?

65

100

x0

1

200

m5y3m3y4

m8y7

200

(x2y2)3

x6y6

200

x10y4 / x6y7

x4 / y3 

200

What is (-2)7 in expanded form?

-2 × -2 × -2 × -2 × -2 × -2 × -2

200

(3x2y10)0

1

300

2r3r4

2r7

300

(3x3)2

9x6

300

35x4 / 5x9

7/x5

300

Determine the sign of the product and explain your reasoning: (-2)14 and (2)14

(-2)14: Positive because the exponent is even

(2)14: Positive because the base is positive

300

(2x5y0)3

8x15

400

x6x-4

x2

400

(2x3r2)3

8x9r6

400
12x11 / 40x9

3x2 / 10

400

Determine the sign of the product and explain your reasoning: (-1)9 and (1)9

(-1)9: Negative because the exponent is odd

(1)9: Positive because the base is positive

400

x-5y2

y2 / x5

500

-4x32x4

-8x7

500

(3r2t3)3

27r6t9

500

(3x5y)2 / x6y5

9x4 / y3

500

Write 125 using a base of 5 and write 64 using a base of 2.

125: 53

64: 26
500

11x2y-6 / 3x5y-4

11 / 3x3y2

M
e
n
u