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: 9²(9⁴)

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: 2² times 2⁵

What is 2⁷?

400

Simplify in exponential form: (8³)(5²)(8⁴)(5²)

What is 8⁷(5⁴)?

500

What is the standard form of:  3²(4³)(3⁴)

What is 46656?

Quotient of Powers

100

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

What is subtract?

200

Simplify in exponential form: 2⁵/2²

What is 2³?

300

Simplify in exponential form: 6³/6⁸

What is 1/6⁵?

400

What is the standard form of:  9⁷/9⁵

What is 81?

500

Simplify in exponential form: 12⁸(7⁶)/12⁵(7⁴)

What is 12³(7²)?

Power of Powers

100

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

What is multiply?

200

Simplify in exponential form: (7⁵)³

What is 7¹⁵?

300

Simplify in exponential form: (4³)²

What is 4⁶?

400

Simplify in standard form: (4⁴)³

What is 16,777,216?

500

Simplify in exponential form: (9⁵)³(7⁴)⁹

What is 9¹⁵(7³⁶)?

Negative and Zero Exponents

100

Any number raised to the zero power is _______.

What is 1?

200

(-12)⁰

What is 1?

300

Re-write using only positive exponents:  4^-5

What is 1/4⁵?

400

Write using a positive exponent 1/7^-6?

What is 7⁶?

500

Write using only positive exponents:  6^-4/6^-2

What is 6²/6⁴?