Laws of Exponents

Exponents

100

Identify the base: 3²

What is 3

200

Identify the exponent 1^6

What is 6.

300

Write using exponents: (3 x 3 x 3)

What is 3^3

400

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

What is h^5

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: 5^2 x 5^6

What is 5^8

300

Simplify: 2x^2 times 4x^3

What is 8x^5

400

Simplify: (8x^3)(-3x^9)

What is -24x^12

500

(8x⁵y⁷)(10x¹²y¹⁵z⁵)

80x¹⁷y²²z⁵

Quotient of Powers

100

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

What is subtract

200

Simplify: 2^5/2^2

What is 2^3

300

Simplify: w³/w⁸

What is w^-5 or 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)²

What is 4⁶

400

Simplify: (14y)⁴

What is 14⁴y⁴

500

Simplify: (x²y⁶)³

What is x⁶y¹⁸

Negative and Zero Exponents

100

Any number raised to the zero power is

What is 1

200

2^0

What is 1

300

To simplify a negative exponent you must first create this.

What is fraction.

400

Write using a positive exponent w^-5

What is 1/w⁵

500

Write x^-1 using positive exponents.

What is 1/x