Exponent Rules

Non-Positive Exponents

100

16⁰

What is 1?

200

4^-2

What is 1/16?

300

3^-3

What is 1/27?

400

8^-2/4⁰

What is 1/64?

500

5(-6)⁰

What is 5?

Product of a Power

100

b⁷ * b¹³

What is b²⁰?

200

(8d⁴)(4d⁷)

What is 32d¹¹?

300

2³ * 2²

What is 2⁵ = 32?

400

x^-9 * x³ * x²

What is x^-4 = 1/x⁴?

500

(7p⁴)(5p⁹)

What is 35p¹³?

Power to a Power

100

(x⁵)²

What is x¹⁰?

200

(2^-3)⁴

What is 2^-12 = 1/2¹²?

300

(4a⁵)³

What is 64a¹⁵?

400

(m^-3*n⁴)^-4

What is m¹² * n^-16 = m¹²/n¹⁶?

500

(4x⁴)² * (2xy³)³

What is 128*x¹¹*y⁹?

Quotient of Powers

100

c¹⁶/c⁹

What is c⁷?

200

3⁷/3⁴

What is 3³ = 27?

300

(a⁶ * b^-5)/(a^-2 * b⁷)

What is a⁸/b¹²?

400

(a³/b²)⁴

What is a¹²/b⁸?

500

(a²b^-4/b²)⁵

What is a¹⁰/b³⁰?

Scientific Notation

100

Rewrite 2.6 x 10⁵ in standard form?

260,000

200

Rewrite 51,000,000 in Scientific Notation.

5.1 x 10⁷

300

Rewrite 0.00052 in Scientific notation.

5.2 x 10^-4

400

Add 1.9 x 10⁴ + 2.3 x 10⁴

42,000 or 4.2 x 10⁴

500

What is 1.4 x 10¹⁰ * 4.0 x 10^-4?

5.6 x 10⁶