Topic 2: Exponents

Square/Cube Roots

100

What is the square root of 4?

2

200

What is the cube root of 125?

5

300

Is 100 a perfect square, perfect cube, neither, or both?

perfect square

400

Solve for x:

x²=64

x = +/- 8

500

Solve for x:

x³=81

x= cube root of 81

Properties of Exponents

100

Simplify: 

x¹⁴ * x¹⁶

x³⁰

200

Simplify:

x⁴⁰ / x²⁰

x²⁰

300

Simplify:

(x⁵)⁴

x²⁰

400

Make the exponent positive:

1 / x^-5

x⁵

500

Simplify and make sure the exponent is positive:

x¹² / x²⁶

1 / x¹⁴

Scientific Notation

100

What is 9,000 in scientific notation?

9 x 10³

200

What is 0.00085 in scientific notation?

8.5 x 10^-4

300

What is 95,817,420,000,000,000 in scientific notation?

9.581742 x 10¹⁶

400

Write 2.473 x 10¹² in standard form. Make sure to write your commas in!

2,473,000,000,000

500

Write 3.579 x 10^-10 in standard form.

0.0000000003579

Add/Subtract Scientific Notation

100

(3.5 x 10⁴) + (2.5 x 10⁴)

6 x 10⁴

200

(9.23 x 10⁹) - (3.5 x 10⁹)

5.73 x 10⁹

300

(5.3 x 10³) - (8 x 10²)

4.5 x 10³

400

(7.35 x 10¹⁵) + (3.5 x 10¹⁴)

7.7 x 10¹⁵

500

(2.3 x 10⁶) + (1.6 x 10⁹)

1.6023 x 10⁹

Multiply/Divide Scientific Notation

100

(3 x 10²) x (2 x 10⁴)

6 x 10⁶

200

(6.4 x 10⁸) / (1.6 x 10⁴)

4 x 10⁴

300

(12.6 x 10¹⁵) / (3.5 x 10¹²)

3.6 x 10³

400

(3.5 x 10⁶) x (8.2 x 10⁷)

2.87 x 10¹⁴

500

(1.3 x 10⁵) / (6.5 x 10⁸)

2 x 10^-4