Chapter 6 Algebra 1

Negative Exponents

100

x^-2

1/x²

200

1/y^-5

y⁵

300

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

y⁴/(49x³)

400

(3^-2a^-1)/(9^-1b^-2c⁰)

(9b²)/(9a)

500

(6²tu^-5)/2⁵

(36t)/(32u⁵)

Product, Quotient, and Power Exponents

100

(-8)³•(-8)³

(-8)⁶= 262,144

200

(-3)⁶÷(-3)³

(-3)³= -27

300

(h³)⁴

h¹²

400

x⁷÷x⁴•x²

x⁵

500

(q⁴÷5)^-3

1/(125q¹²)

Power of a Product/Quotient Exponents

100

(-8t²)³

-512t⁶

200

(-2y)⁵

-32y⁵

300

(3d)^-3

1/(27d³)

400

(5/b)^-5

b⁵/3125

500

(1/(3h⁵))^-4

81h²⁰

All Exponents

100

x⁰

1

200

x⁰•x⁸•x

x⁹

300

(4d)²/x^-3

16d²x³

400

6^-2/(x^-2y³)^-1

y³/(36x²)

500

(x⁵÷x²)•(x²÷x⁵)

1

Simplifying Exponents

100

(x²)⁶

x¹²

200

(xy⁴z²)⁵

x⁵y²⁰z¹⁰

300

x²•x⁷•x¹³

x²²

400

x³•x²•y⁶•y²•x²•y

x⁷y⁹

500

x²y^-3z⁰

x²/y³