Laws of Exponents

Scientific Notation

100

Write in standard form 2 x 10⁶

What is 2,000,000

200

Write in standard form  5.3 x 10^-4

What is 0.00053

300

Write in scientific notation  92,000,000

What is 9.2 x 10⁷

400

Write in scientific notation  0.0000678

What is 6.78 x 10^-5

500

Write in scientific notation   505,000,000

What is 5.05 x 10⁸

Product of Powers

100

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

What is add.

200

Simplify: 5² x 5⁶

What is 5⁸

300

Simplify: 2x² times 4x³

What is 8x⁵

400

Simplify: (8x³)(-3x⁹)

What is -24x¹²

500

Simplify: (-4x⁵)(-2x⁶)

8x¹¹

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

400

18a⁷/6a³

What is 3a⁴

500

Simplify: 12x²/6x³

What is 2x^-1

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: (2y)⁴

What is 16y⁴

500

Simplify: (x²y⁶)³

What is x⁶y¹⁸

Negative and Zero Exponents

100

Any number raised to the zero power is

What is 1

200

2⁰

What is 1

300

To write a negative fraction using positive exponents, you must make a

What is fraction with a numerator of 1.

400

Write using a positive exponent w^-5

What is 1/w⁵

500

Write x^-1 using positive exponents.

What is 1/x