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:

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

  • Aan exponent
  • Ba factor
  • Ca coefficient
  • Dan expression
  • Ea base

Q2:

Evaluate 5.

Q3:

Write four squared using digits.

  • A2
  • B4
  • C4
  • D3

Q4:

Write the expression 3 in words.

  • AThree to the fourth power
  • BThree to the fifth power
  • CFour to the fourth power
  • DFour to the Three power

Q5:

What is the base in 5?

Q6:

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

  • Ano
  • Byes

Q7:

Write seven to the fourth power using digits.

  • A7
  • B5
  • C7
  • D4

Q8:

The cost of each flight of the space shuttle is about $10,000,000. Write this cost in exponential form.

  • A100dollars
  • B10dollars
  • C10dollars
  • D100dollars
  • E10dollars

Q9:

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

  • A2 tons
  • B3 tons
  • C4 tons
  • D2 tons
  • E2 tons

Q10:

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

  • A5, 15 cubic units
  • B5, 125 cubic units
  • C2, 32 cubic units
  • D3, 125 cubic units
  • E5, 25 cubic units

Q11:

The prefix kilo in kilometre represents 1,000 metres. Write this length as a power of ten.

  • A10 metres
  • B10 metres
  • C10 metres
  • D10 metres
  • E10 metres

Q12:

The prefix mega in megameter represents 1,000,000 meters. Write this number as a power of ten.

  • A10
  • B10
  • C10
  • D10
  • E10

Q13:

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

Q14:

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

  • Atrue
  • Bfalse

Q15:

Complete the following using <,>, or =: 33.

  • A>
  • B<
  • C=

Q16:

Complete the following using <,>, or =: 82.

  • A=
  • B>
  • C<

Q17:

Which of the following is true?

  • A5=125
  • B5<125
  • C5>125

Q18:

Complete the following using <,>, or =: 43.

  • A<
  • B>
  • C=

Q19:

Complete the following using <,>, or =: 46.

  • A=
  • B<
  • C>

Q20:

Suppose a lab technician observed 3 bacteria growing in a lab dish. One hour later, he observed 9 bacteria. Every hour, he noticed about 3 times as many as the hour before. After some time of observation, he determined that there were 3 bacteria in the lab dish. Write the number that represents the bacteria in the lab dish in standard form.

Q21:

The maglev train in China is the fastest passenger train in the world. Its average speed is 3 miles per hour. Write this speed in standard form.

Q22:

In a recent year, the number of 12 years olds to 17 years olds that went off-road biking was 10. Write this number in standard form.

Q23:

Evaluate the following expression: 26.

Q24:

Find the value of (2)×(5).

Q25:

Suppose a bacterium splits into 2 bacteria every 20 minutes. How many bacteria will there be in 4 hours?

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