Properties of Exponents Review

Evaluate

100

Evaluate:  (-2)⁵

Answer as a single number.

Answer: -32

200

Evaluate:  -5²

Answer as a single number. 

Answer: -25

300

Evaluate:  (-1)⁸

Answer as a single number. 

Answer: 1

400

Evaluate:  -(-3)³

Answer as a single number. 

Answer: 27

500

Evaluate:  3² ÷ 3^-2 •  (9)^-1  

Answer as a single number.

Answer: 9

Multiplying Exponents

100

Simplify (2²)(2³)

Answer in exponential form, without negative exponents!

Answer: 2⁵

200

Simplify (2^-3)(2⁷)

Answer in exponential form, without negative exponents!

Answer: 2⁴

300

Simplify (x⁰)(x⁸)(x)

Answer in exponential form, without negative exponents!

Answer: x⁹

400

Simplify (6²)( 6^-4)  

Leave in exponential form, but without negative exponents! 

Answer: 1/6²

500

Simplify (a³b³⁾(a⁴b^-8)

Answer in exponential form, without negative exponents!

Answer: a⁷/b⁵

Dividing Exponents

100

Simplify  (a⁴)/(a²)

Answer in exponential form, without negative exponents!

Answer: a²

200

Simplify  b⁴/b¹⁰

Answer in exponential form, without negative exponents!

Answer: 1/b⁶

300

Simplify  y¹²/y^-9

Answer in exponential form, without negative exponents!

Answer: y²¹

400

Simplify  x^-12/x^-9

Answer in exponential form, without negative exponents!

Answer: 1/x³

500

Simplify  x²y³/xy³

Answer in exponential form, without negative exponents!

Answer: x

Power of a Power

100

Simplify  (a⁹)⁴

Answer in exponential form, without negative exponents!

Answer: a³⁶

200

Simplify  (a^-5)^-7

Answer in exponential form, without negative exponents!

Answer: a³⁵

300

Simplify  (1/2)¹²(1/2)⁹

Answer in exponential form, without negative exponents!

Answer: (1/2)¹⁰⁸

400

Simplify  (7^-23)⁰

Answer in exponential form, without negative exponents!

Answer: 1

500

Simplify  (k³)^-8

Answer in exponential form, without negative exponents!

Answer: 1/k²⁴

~More than One Rule~

100

Simplify (x³)^-8 ÷ (x⁴)

Answer in exponential form, without negative exponents!

1/x²⁸

200

Simplify (x³) ÷ (x⁴)⁶

Answer in exponential form, without negative exponents!

Answer: 1/x²¹

300

Simplify (4³•4⁵)²

Answer in exponential form, without negative exponents!

Answer: 4¹⁶

400

Simplify x⁴y⁶ ÷ x³y

Answer in exponential form, without negative exponents!

Answer: xy⁵ or x¹y⁵

500

Simplify  x^-3y² ÷ (x⁴)²

Answer in exponential form, without negative exponents!

Answer: y²/x¹¹