Math 8 Exponents Review

Exponent Laws

100

Simplify:

2⁶ x 2⁹ 

2¹⁵

200

Simplify:

(5⁴)² x 5^-3

5⁵

300

Simplify:

(3x⁸)²

9x¹⁸

400

Simplify:

(3⁹ x 3) ÷ (3²)²

3⁶

500

Simplify:

(x¹⁰)³ ÷ (x²)^-5

x⁴⁰

Roots

100

√81

9

200

√121

11

300

³√125

5

400

√(9x⁸)

3x⁴

500

³√(64a¹²y⁹)

4a⁴y³

Scientific Notation

100

Write 600 000 in scientific notation.

6 x 10⁵

200

Write 0.000049 in scientific notation.

4.9 x 10^-5

300

What is (2 x 10⁸) x (3 x 10⁴) = ?

6 x 10¹² (or 6 trillion)

400

What is (6 x 10⁷) + (5 x 10⁷) = ?

1.1 x 10⁸

500

What is (3 x 10⁵) ÷ (4 x 10^-3) = ?

7.5 x 10⁷

Binomials

100

Expand (x + 5)²

x² + 10x + 25

200

Expand (x - 9)²

x² - 18x + 81

300

Expand (x + 3)(x - 7)

x² - 4x - 21

400

Expand (2x - 7)²

4x² - 28x + 49

500

Expand (3x - 5)(x² +2x - 3)

3x³ + x² - 19x + 15 

Mixed Problems

100

What is 3⁰ = ?

1

200

√100 + √4 + ³√27 = ?

15

300

Expand x⁵(x⁷ + x^-2)

x¹² + x³

400

Simplify: 

(a^-3)^-4 ÷ (√a^-6)

a¹⁵

500

The mass of the sun is about 2 x 10³⁰ kg.
An average adult male weighs around 80 kg.
How many times bigger is the sun compared to an average adult male? 

(Write your answer in scientific notation).

2.5 x 10²⁸ times bigger.