8th Grade Exponents Test

Powers

100

Write 5 x 5 x 5 as an exponent. 

5³

200

Evaluate 4³

64

300

Write(-2)⁴ as repeated multiplication, then evaluate.

(-2)(-2)(-2)(-2)= 16

400

(1/2)³

1/8

500

Evaluate 3^-2. Write your answer without a negative exponent.

1/9

Exponent Rules

100

Simplify x⁴ * x⁷

x¹¹

200

Simplify a¹⁰/a⁴

a⁶

300

Simplify (3x²)(4x⁵)

12x⁷

400

Simplify (2m³)²

4m⁶

500

Simplify 18x⁸y⁵/3x³y²

6x⁵y³

Roots

100

Square root of 81

9 or -9

200

Cube root of 64

4

300

Cube root of -125

-5

400

Square root of 0.64

0.8

500

Square root of (36/49)

6/7

Scientific Notation

100

Write 3,500,000 in scientific notation

3.5 x 10⁶

200

Write 0.000047 in scientific notation 

4.7 x 10^-5

300

Write 6.2 x 10⁵ in standard notation.

620,000

400

Write 8.04 x 10^-4 in standard notation.

0.000804

500

7.3 x 10^-4  ___  2.1 x 10^-3

7.3 x 10^-4  <  2.1 x 10^-3

Scientific Computation

100

(2 x 10⁴) + (5 x 10⁴)

7 x 10⁴

200

(8.6 x 10⁶) - (3.2 x 10⁶⁾

5.4 x 10⁶

300

(3 x 10⁵)(4 x10²)

1.2 x 10⁸

400

(8 x 10⁷) / (2 x 10³)

4 x 10⁴

500

(6.5 x 10⁶) + (7 x 10⁵)

7.2 x 10⁶