Laws of Exponents

Exponents

100

Identify the base: 3²

What is 3

200

Identify the exponent 1⁶

What is 6.

300

Write using exponents: (3 x 3 x 3)

What is 3³

400

Write using exponents: h x h x h x h x h

What is h⁵

500

Write in expanded form: 9⁶

What is 9 x 9 x 9 x 9 x 9 x 9

Product of Powers

100

You do this to the exponents to multiply powers with the same base.

What is add.

200

Simplify: 5² x 5⁶

What is 5⁸

300

Simplify: 4² times 4³

What is 4⁵

400

Simplify: (2³)(2⁹)

What is 2¹²

500

(3x²)(2x⁴)

What is 6x⁶

Quotient of Powers

100

You do this to the exponents when dividing powers with the same base.

What is subtract

200

Simplify: 2⁵/2²

What is 2³

300

Simplify: 5⁹/5⁸

What is 5 or 5¹

400

6⁷/6³

What is 6⁴

500

Simplify with a positive exponent: 2²/2⁵

What is 1/2³ 

Power of Powers

100

You do this to the exponents when finding the power to a power.

What is multiply

200

Simplify: (z¹¹)⁵

What is z⁵⁵

300

Simplify: (4³)²

What is 4⁶

400

Simplify: (2y)²

What is 4y²

500

Simplify: (x²y⁶)³

What is x⁶y¹⁸

Negative and Zero Exponents

100

Any number raised to the zero power is

What is 1

200

2⁰

What is 1

300

To write a negative fraction using positive exponents, you must make a

What is fraction.

400

Write using a positive exponent 3^-5

What is 1/3⁵

500

Write x^-1 using positive exponents.

What is 1/x¹