# Worksheet: Powers and Exponents

In this worksheet, we will practice identifying the base and exponent in power formulas, writing them in exponential, expanded and word forms, and evaluating simple powers.

Q1:

Find the value of .

Q2:

Calculate , giving your answer in its simplest form.

• A 256
• B
• C
• D 64

Q3:

Find the value of .

Q4:

What terminology do we use to describe the 3 in the term ?

• Aan expression
• Ban exponent
• Ca coefficient
• Da factor
• Ea base

Q5:

Is the following correct: ?

• A no
• B yes

Q6:

Evaluate .

Q7:

Calculate .

Q8:

Simplify .

• A
• B
• C
• D

Q9:

Write four squared using digits.

• A
• B
• C
• D

Q10:

Write the expression in words.

• AFour to the fourth power
• BFour to the Three power
• CThree to the fourth power
• DThree to the fifth power

Q11:

What is the base in ?

Q12:

Is the following correct: ?

• A no
• B yes

Q13:

Write seven to the fourth power using digits.

• A
• B
• C
• D

Q14:

The cost of each flight of the space shuttle is about . Write this cost in exponential form.

• A dollars
• B dollars
• C dollars
• D dollars
• E dollars

Q15:

The African bush elephant is the largest land animal and weighs about 8 tons. Express this amount in exponential form.

• A tons
• B tons
• C tons
• D tons
• E tons

Q16:

Express the volume of a cube of edge length 5 units as an exponent, and then determine its value.

• A , 25 cubic units
• B , 125 cubic units
• C , 15 cubic units
• D , 32 cubic units
• E , 125 cubic units

Q17:

The prefix kilo in kilometre represents metres. Write this length as a power of ten.

• A metres
• B metres
• C metres
• D metres
• E metres

Q18:

The prefix mega in megameter represents meters. Write this number as a power of ten.

• A
• B
• C
• D
• E

Q19:

Find the digit in the units place of .

Q20:

Use a calculator to determine whether this sentence is true or false: .

• Afalse
• Btrue

Q21:

Complete the following using ,, or : .

• A
• B
• C

Q22:

Complete the following using ,, or : .

• A
• B
• C

Q23:

Which of the following is true?

• A
• B
• C

Q24:

Complete the following using ,, or : .

• A
• B
• C

Q25:

Complete the following using ,, or : .

• A
• B
• C