Exponents & Polynomials

Exponents

100

Evaluate the following:

(-7)²

49

200

Simplify the following:

(3/7)⁰

1

300

Simplify the following:

6^-2

1/36

400

Simplify the following:

8a^-3

8/a³

Product, Power, and Quotient Rule

100

Use the product rule to simplify the following:

x⁵ * x⁹

x¹⁴

200

Use the product rule to simplify the following:

(4x³)(9x⁵)

36x⁸

300

Use the power rules to simplify the following:

(y³)¹¹

y³³

400

Using the quotient rule, simplify the following:

(x¹²y⁵) / (x⁸y⁴)

x⁴y

Exponent Math

100

Simplify the following:

x^-4/y^-3

y³/x⁴

200

Simplify the following:

3^-2 + 3⁰

10/9

300

Simplify the following:

a^-6 * a^-3 * a * a^-2

1/a¹⁰

400

Simplify the following:

( (2x⁴)³ ) / x¹⁵

8/x³

Scientific Notation

100

Convert the following to scientific notation:

83,000

8.3 * 10⁴

200

Convert the following to scientific notation:

0.000154

1.54 * 10^-4

300

Convert the following to standard form:

1.03 * 10⁶

1,030,000

400

Convert the following to standard form:

8.7 * 10^-5

0.000087

Polynomials

100

Simplify the expression:

3x - 10x

-7x

200

Evaluate the following when y=2:

y³ - 4

4

300

Simplify the expression:

3y³ - 6x² + 2x² - 5y³ 

-2y³ - 4x²

400

Is the following a monomial, binomial, or trinomial?

x² + x - 6

trinomial