Solving Equations with Exponents

Worksheet #1

100

x² * x = 729

x = 9

200

y² *  y = 125

y = 5

300

x⁴/x² + 7 = 56

x = 7

400

x⁶/x³ - 8 = 504

x = 8

500

2r³ = 54

y = 3

Worksheet #2

100

  y² *  y = 8

y = 2

200

 r³ *  r = 256

r = 4

300

x⁴/x² + 9 = 45

x = 6

400

x⁶/x³ - 2 = 25

x = 3

500

 2h² + 5 + 3h² = 25

h = 2

Worksheet #3

100

  x  *  x = 25

x = 5

200

y² *  y = 1000

y = 10

300

  x⁶/x³ - 9 = 503

x = 8

400

x⁴/x² + 16 = 52

x = 6

500

-10 + 4p³ = - 42

p = -2

key concepts

100

Extraordinary _________s make multiplication look like adding.

exponents

200

Write x² in expanded form.

x * x

300

Write y³ in expanded form.

y * y * y 

400

Write h⁴ in expanded form.

h * h * h * h

500

Write p¹ in expanded form.

p 

key concepts #2

100

Write y⁵ in expanded form.

y * y * y * y * y

200

x * x * x = 

x³

300

What is the opposite of an exponent?

A root.

400

What is the opposite of x² ?

The square root.

500

What is the opposite of x³ ?

The cubed root.