Question

Which expressions have a value of Negative StartFraction 1 Over 64 EndFraction? Check all that apply.
(Negative one-fourth) cubed
Negative (one-fourth) cubed
(Negative StartFraction 1 Over 8 EndFraction cubed
Negative (StartFraction 1 Over 8 EndFraction) squared
(Negative one-half) Superscript 6
Negative (one-half) Superscript 6

Answer 1

Correct Options are:

Option A: (Negative one-fourth) cubed

Option B: Negative (one-fourth) cubed

Option D: Negative (StartFraction 1 Over 8 EndFraction) squared

Option F: Negative (one-half) Superscript 6

Step-by-step explanation:

We need to check the expressions that have value $-\frac{1}{64}$

Option A: (Negative one-fourth) cubed

$(-\frac{1}{4})^3$

Solving: $(-\frac{1}{4})^3$

We get $-\frac{1}{64}$

So, Option A is correct.

Option B: Negative (one-fourth) cubed

$-(\frac{1}{4})^3$

Solving: $-(\frac{1}{4})^3$

We get $-\frac{1}{64}$

So, Option B is correct

Option C: (Negative StartFraction 1 Over 8 EndFraction cubed

$(-\frac{1}{8})^3$

Solving: $(-\frac{1}{8})^3$

We get $-\frac{1}{512}$

So, Option C is not correct.

Option D: Negative (StartFraction 1 Over 8 EndFraction) squared

$-(\frac{1}{8})^2$

Solving: $-(\frac{1}{8})^2$

We get $-\frac{1}{64}$

So, Option D is correct.

Option E: (Negative one-half) Superscript 6

$(-\frac{1}{2})^6$

Solving:$(-\frac{1}{2})^6$

We get: $\frac{1}{64}$

So, Option E is not correct.

Option F: Negative (one-half) Superscript 6

$-(\frac{1}{2})^6$

Solving:$-(\frac{1}{2})^6$

We get: $-\frac{1}{64}$

So, Option F is correct.

So, correct Options are: Option A, B, D and F

Answer 2

Answer:

Here are the answers:

Option A: (Negative one-fourth) cubed

Option B: Negative (one-fourth) cubed

Option D: Negative (StartFraction 1 Over 8 EndFraction) squared

Option F: Negative (one-half) Superscript 6

Step-by-step explanation: