Exponents Review

Exponent Properties

100

Simplify: (n²)(n⁷)

What is n⁹

200

Simplify: (-21w⁵ x²) / (7w⁴ x⁵)

What is (-3w)/x³

300

Simplify: (-3j² k3)² (2j²k)³

What is 72j¹⁰ k⁹

400

Simplify: (5/3)^-2

What is 9/25

500

Simplify: (x^-3y⁵ / 4^-3)⁰ (2x³y²z / 3x⁴yz^-2)^-2

What is 9x² / 4y²z⁶

Rational Exponents

100

Simplify: 1024^1/5

What is 4

200

Simplify: (16/625)^1/4

What is 2/5

300

Solve each equation: 2^x = 512

What is x = 9

400

Solve: 3^(x-3) = 243

What is x = 8

500

Solve: 4^(x-1) = 1024

What is x = 6

Scientific Notation

100

Write the number in scientific notation: 3.22 x 10^-5

What is 0.0000322

200

Write the number in standard notation: 1.001 x 10⁷

What is 10,010,000

300

Solve and express in both scientific and standard form: (6.1 x 10⁵)(2 x 10⁵)

What is 1.22 x 10¹¹ and 122,000,000,000

400

Solve and express your answer in both scientific and standard form: (9.2 x 10^-8) / (2 x 10^-6)

What is 4.6 x 10^-2 and .046

500

Solve and express each in scientific and standard form: (7.2 x 10^-5)²

What is 5.184 x 10^-9 and .000000005184