Laws of Exponents

Multiplying

100

Express 3⁵ ∙ 3⁴ ∙ 3⁷ in simplified exponential notation.

3¹⁶

200

Simplify (5³)(-6⁰)

-125

300

Simplify (3^-2)(9¹)

1

400

Simplify (3²)⁴

729

Dividing

100

5²/5^-1

^{** Remember / means division}

125

200

Simplify     2⁶/2² 

^{** Remember / means division}

16

300

Simplify    3^-2/ 3² 

*** Remember / means divide

81

400

Simplify 6/6^-1

^{** Remember / means division}

36

Power to a Power

100

Simplify (2²)³. 

Write in Exponential Form.

 2⁶

200

Simplify (12⁵)².

Write in Exponential Form.

12¹⁰

300

Simplify (2^-3)².

Write in Standard Form.

1/64

400

Simplify (5^-1)².

Write in Standard Form.

1/25

Negative Exponents

100

Express with a positive exponent 2^-3

1/2³

200

Simplify and express with a positive exponent.

2^-4*2

1/2³ or 1/8

300

Simplify and express with a positive exponent.

2³(2^-5)(2)

1/2

400

Simplify and express with a positive exponent.

      6^-5/6³

1/6⁸

Zero Exponents

100

-5⁰

-1

200

2*5⁰ + 5⁰

3

300

(8)⁰ + 7⁰

2

400

2⁰(2^-3)(2³)

1