Laws of Exponents

Exponents

100

Identify the base: 3⁷

What is 3

200

Identify the exponent 10⁶

What is 6.

300

Write using exponents: (3 x 3 x 3)(2 x 2)

What is 3³ _* 2²

400

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

What is h⁵

500

Write in without using exponents : 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 _* 5⁶

What is 5⁸

300

Simplify: 2x² _* 4x³

What is 8x⁵

400

Simplify: 8x³(-3x⁹)

What is -24x¹²

500

Simplify: -5x³ _* 2y⁴ _* 2x³y

-20x⁶y⁵

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: w³/w⁸

What is w^-5, which needs to be changed to 1/w⁵

400

18a⁷/6a³

What is 3a⁴

500

Simplify: 12x²y³/6x³y

What is 2x^-1y² which needs to be switched to 2y²/x¹

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: (14y)⁴

What is 38416y⁴

500

Simplify: (3x²y⁶)³

What is 27x⁶y¹⁸

Negative and Zero Exponents

100

Any number raised to the zero power is

What is 1

200

2⁰

What is 1

300

-x^-10

-1/x¹⁰

400

Write using a positive exponent 3x²w^-5

What is 3x²/w⁵

500

Write 4a^-4b²c^-6 using positive exponents.

What is 4b²/a⁴c⁶