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

To multiply powers with the same base, you ______ the exponents.

What is add?

200

Simplify: 5² x 5⁶.

What is 5⁸?

300

Simplify: a² x a³.

What is a⁵?

400

Simplify: (2x³)(3x⁹).

What is 6x¹²?

500

Simplify: (ab²)(a³b⁴).

What is a⁴b⁶?

Quotient of Powers

100

To divide powers with the same base, you ______ the exponents.

What is subtract?

200

Simplify: 2⁵/2².

What is 2³?

300

Simplify: w⁸/w³.

What is w⁵?

400

Simplify: 18a⁷/6a³.

What is 3a⁴?

500

Simplify: x²y⁴/xy²

What is xy²?

Power of Powers

100

To raise a power to a power, you ______ the exponents.

What is multiply?

200

Simplify: (z¹⁰)⁵.

What is z⁵⁰?

300

Simplify: (4³)².

What is 4⁶?

400

Simplify: (3x)²

What is 9x²?

500

Simplify: (x²y⁶)³

What is x⁶y¹⁸?

Negative and Zero Exponents

100

Any number raised to the zero power is ______.

What is 1?

200

Simplify: 2⁰.

What is 1?

300

Write using a positive exponent: x^-1.

What is 1/x?

400

Write using a positive exponent: w^-5.

What is 1/w⁵?

500

Write 1/x^-4 using positive exponents.

What is x⁴?