# 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.

**Q1: **

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

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

**Q2: **

Evaluate .

**Q3: **

Write four squared using digits.

- A
- B
- C
- D

**Q4: **

Write the expression 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 ?

**Q6: **

Is the following correct: ?

- ANo
- BYes

**Q7: **

Write seven to the fourth power using digits.

- A
- B
- C
- D

**Q8: **

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

- A
- B
- C
- D
- E

**Q9: **

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

**Q10: **

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

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

**Q11: **

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

- A metres
- B metres
- C metres
- D metres
- E metres

**Q12: **

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

- A
- B
- C
- D
- E

**Q13: **

Find the digit in the units place of .

**Q14: **

True or False (without Using a Calculator): .

- ATrue
- BFalse

**Q15: **

Complete the following using ,, or : .

- A
- B
- C

**Q16: **

Complete the following using ,, or : .

- A
- B
- C

**Q17: **

Which of the following is true?

- A
- B
- C

**Q18: **

Complete the following using ,, or : .

- A
- B
- C

**Q19: **

Complete the following using ,, or : .

- 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 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 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 . Write this number in standard form.

**Q23: **

Evaluate the following expression: .

**Q24: **

Find the value of .

**Q25: **

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