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 ( 3 ) × 3 .

Q2:

Calculate × , giving your answer in its simplest form.

  • A 256
  • B 1 2 5 6
  • C 1 6 4
  • D 64

Q3:

Find the value of 5 .

Q4:

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

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

Q5:

Is the following correct: 6 = 2 × 2 × 2 × 3 × 3 × 3 ?

  • A no
  • B yes

Q6:

Evaluate 5 .

Q7:

Calculate 2 × 2 × 3 × 3 .

Q8:

Simplify 1 2 𝑥 𝑦 6 𝑥 𝑦 .

  • A 2 𝑥 𝑦
  • B 2 𝑥 𝑦
  • C 2 𝑥 𝑦
  • D 2

Q9:

Write four squared using digits.

  • A 2
  • B 4
  • C 4
  • D 3

Q10:

Write the expression 3 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 5 ?

Q12:

Is the following correct: 3 = 3 + 3 + 3 + 3 ?

  • A no
  • B yes

Q13:

Write seven to the fourth power using digits.

  • A 5
  • B 7
  • C 7
  • D 4

Q14:

The cost of each flight of the space shuttle is about $ 1 0 0 0 0 0 0 0 . Write this cost in exponential form.

  • A 1 0 dollars
  • B 1 0 dollars
  • C 1 0 0 dollars
  • D 1 0 dollars
  • E 1 0 0 dollars

Q15:

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

  • A 4 tons
  • B 2 tons
  • C 3 tons
  • D 2 tons
  • E 2 tons

Q16:

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

  • A 5 , 25 cubic units
  • B 5 , 125 cubic units
  • C 5 , 15 cubic units
  • D 2 , 32 cubic units
  • E 3 , 125 cubic units

Q17:

The prefix kilo in kilometre represents 1 0 0 0 metres. Write this length as a power of ten.

  • A 1 0 metres
  • B 1 0 metres
  • C 1 0 metres
  • D 1 0 metres
  • E 1 0 metres

Q18:

The prefix mega in megameter represents 1 0 0 0 0 0 0 meters. Write this number as a power of ten.

  • A 1 0
  • B 1 0
  • C 1 0
  • D 1 0
  • E 1 0

Q19:

Find the digit in the units place of 5 × 2 .

Q20:

Use a calculator to determine whether this sentence is true or false: 2 < 4 .

  • Afalse
  • Btrue

Q21:

Complete the following using < , > , or = : 3 3 .

  • A <
  • B =
  • C >

Q22:

Complete the following using < , > , or = : 8 2 .

  • A >
  • B <
  • C =

Q23:

Which of the following is true?

  • A 5 = 1 2 5
  • B 5 > 1 2 5
  • C 5 < 1 2 5

Q24:

Complete the following using < , > , or = : 4 3 .

  • A >
  • B <
  • C =

Q25:

Complete the following using < , > , or = : 4 6 .

  • A >
  • B =
  • C <

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