Roots, Exponents, & Scientific Notation

Perfect squares and cubes

100

Find both square roots

√81 

9 and -9

200

Find both square roots

√225 

15 and -15

300

What is the difference between (-7)² and -7²?

49 and -49  (The difference would be 98.)

400

³√64

4

500

³√-125

-5

Exponent Rules

100

Simplify the expression. Leave your answer as an exponent.

(x⁴)(x³)

x⁷

200

Simplify the expression. Leave your answer as an exponent.

7⁹ / 7²

7⁷

300

Simplify the following. Write the answer using an exponent.

15x⁵/ 3x⁷

5x^-2 or 5/x²

400

Find the value.

2^-3

1 / 8

500

Simplify the expression. 

(2x⁵)(3x²)(5x¹⁰)

30x¹⁷

Scientific Notation

100

Write in scientific Notation

12,300,000

1.23 x 10⁷

200

Write in scientific notation.

0.0000082

8.2 x 10^-6

300

Write in standard notation 

2.5 x 10⁵

250,000

400

Write in standard notation 

3.06 x 10^-3

0.00306

500

Write in standard notation

5.9 x 10⁰

5.9

Add and Subtract in Scientific Notation

100

Write the answer in scientific notation.

(3.2 x 10⁸) + (4.6 x 10⁸)

7.8 x 10⁸

200

Write the answer in scientific notation.

(4.5 x 10⁵) - (1.9 x 10⁵)

2.6 x 10⁵

300

Write the answer in scientific notation.

(7.4 x 10⁶) + (5.2 x 10⁵)

7.92 x 10⁶

400

Write the answer in scientific notation.

(5 x 10⁸) - (4 x 10⁶)

4.96 x 10⁸

500

Write the answer in scientific notation.

(9.8 x 10⁴) + (9.7 x 10³)

10.77 x 10⁴ = 1.077 x 10⁵

Multiply and Divide in Scientific Notation

100

Write the answer in scientific notation.

(3.1 x 10²)(2 x 10³)

6.2 x 10⁵

200

Write the answer in scientific notation.

(6.3 x 10⁷)/(3 x 10⁴)

2.1 x 10³

300

Write the answer in scientific notation.

(5.8 x 10⁸)(4 x 10³)

23.2 x 10¹¹ = 2.32 x 10¹²

400

Write the answer in scientific notation.

(1.5 x 10⁵)/(3 x 10²)

.5 x 10³ = 5 x 10²

500

Write the answer in scientific notation.

(3.2 x 10^-2)/(4 x 10^-3)

0.8 x 10¹ = 8 x 10⁰ = 8