Lesson Worksheet: Powers and Exponents Mathematics • 6th Grade

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.


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

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


Evaluate 5.


Write four squared using digits.

  • A2
  • B4
  • C4
  • D3


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


What is the base in 5?


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

  • ANo
  • BYes


Write seven to the fourth power using digits.

  • A7
  • B5
  • C7
  • D4


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


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


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


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


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

  • A10
  • B10
  • C10
  • D10
  • E10


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


True or False (without Using a Calculator): 2<4.

  • ATrue
  • BFalse


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

  • A>
  • B<
  • C=


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

  • A=
  • B>
  • C<


Which of the following is true?

  • A5=125
  • B5<125
  • C5>125


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

  • A<
  • B>
  • C=


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

  • A=
  • B<
  • C>


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.


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.


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.


Evaluate the following expression: 26.


Find the value of (2)×(5).


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

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