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In this lesson, we will learn how to identify the base and exponent in power formulas, write them in exponential, expanded and word forms, and evaluate simple powers.

Q1:

Find the value of ( − 3 ) × 3 3 2 3 .

Q2:

Calculate × 1 2 7 1 2 2 1 2 3 , giving your answer in its simplest form.

Q3:

Find the value of 5 2 .

Q4:

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

Q5:

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

Q6:

Evaluate 5 1 .

Q7:

Calculate 2 × 2 × 3 × 3 .

Q8:

Simplify − 1 2 𝑥 𝑦 6 𝑥 𝑦 6 5 4 .

Q9:

Write four squared using digits.

Q10:

Write the expression 3 4 in words.

Q11:

What is the base in 5 7 ?

Q12:

Is the following correct: 3 = 3 + 3 + 3 + 3 4 ?

Q13:

Write seven to the fourth power using digits.

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.

Q15:

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

Q16:

Express the volume of a cube of edge length 32 units as an exponent, and then determine its value.

Q17:

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

Q18:

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

Q19:

Find the digit in the units place of 5 × 2 4 6 .

Q20:

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

Q21:

Complete the following using < , > , or = : 3 3 3 5 .

Q22:

Complete the following using < , > , or = : 8 2 2 6 .

Q23:

Which of the following is true?

Q24:

Complete the following using < , > , or = : 4 3 5 5 .

Q25:

Complete the following using < , > , or = : 4 6 3 2 .

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