Grade 6 1.2 Exponents (Fractions and Decimals)

What is the value of (½)³?

• 1/6

• 1/8

• 1/2 × 3

• 3/2

Which of the following is equivalent to ½³?

• 1 ÷ (2 × 2 × 2)

• (1 ÷ 2) × 3

• 1 ÷ 3

• 1 ÷ (½)

What is the value of (0.2)²?

• 0.04

• 0.4

• 0.6

• 0.02

What is the difference between (½)³ and ½³?

• (½)³ raises the whole fraction; ½³ only raises the denominator

• They are always equal

• ½³ is greater than (½)³

• (½)³ divides the exponent by the fraction

True or False: (¼)² = ¼ × ¼ = 1/16

• True

• False

Write (0.5)² as a multiplication expression.

(a)  

What is ⅓³?

Which expression means “raise only the denominator to the 3rd power”?

• ½³

• (½)³

• 2³

• 1/3

Which student is correct? Student A: (½)³ = ½ × ½ × ½ = 1/8 Student B: (½)³ = 1 ÷ (2 × 3) = 1/6

• Only Student A is correct

• Only Student B is correct

• Both are correct

• Neither is correct

A student writes:
⅔³ = (⅔)³
Is this correct?

• Yes, they are equal

• No, they are not equal

• Yes, because you just cube both numbers

• No, because both become 8/27