Question

Select ALL the statements about the number 2⁻³ that are true.

2⁻³ raised to the third power equals 1.

2⁻³ is less than 1.

2⁻³ is greater than 3⁻².

2⁻³ multiplied by -1 equals 2³.

2⁻³ is equal to -8.​

Answer 1

B and C

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Verify each statement.

A) 2⁻³ raised to the third power equals 1.

• (2⁻³)³ = 2⁻³°³ = 2⁻⁹ ≠ 1, this is incorrect

B) 2⁻³ is less than 1.

• 2⁻³ = 1/2³ = 1/8 < 1, this is correct

C) 2⁻³ is greater than 3⁻².

• 2⁻³ = 1/8 and 3⁻² = 1/3²= 1/9, therefore 1/8 > 1/9, this is correct

D) 2⁻³ multiplied by -1 equals 2³.

• 2⁻³*(-1) = 1/2³*(-1) = - 1/2³ ≠ 2³, this is incorrect

E) 2⁻³ is equal to -8.​

• 2⁻³ = 1/8 ≠ - 8, this is incorrect