Laws of Exponents

Mixed Review

100

Simpify 4d⁰

What is 4?

200

1⁶

What is 1.

300

Simplfy. 

5x²z⁵ * -3x^-8z⁴

What is -15z⁹/x⁶

400

Simplfy: (42x¹²y⁴³ x 54x³²y¹²)⁰

What is 1

500

(2xy⁴)³(2x²y³z)²

What is 32x⁷y¹⁸z²?

Product of Powers

100

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

What is add.

200

Simplify and keep in exponential form: 5² x 5⁶

What is 5⁸?

300

Simplify:

 5x² times -4x³

What is -20x⁵?

400

Simplify:

(8x³)(-3x⁹)

What is -24x¹²

500

(m^-13b¹⁰)(m²b⁴)

What is b¹⁴/m¹¹

Quotient of Powers

100

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

What is subtract

200

Simplify and keep in exponential form: 2¹⁰/2²

What is 2⁸?

300

Simplify: w³/w⁸

What is 1/w⁵?

400

18a⁷/6a³

What is 3a⁴?

500

Simplify: 12x²/6x³

What is 2/x?

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)^-1

What is 1/64?

400

Simplify: (2y³)⁴

What is 16y⁸

500

Simplify: (3x²y⁶)³

What is 27x⁶y¹⁸?

Negative and Zero Exponents

100

Any number raised to the zero power is

What is 1

200

Simplify. 1/x^-7

What is x⁷?

300

Simplfy -2x³y^-4

What is -2x³/y⁴

400

Write using a positive exponent w^-5

What is 1/w⁵

500

(-3)^-3

What is 1/-27