Question

Which expression is equivalent to

Answer 1

Answer: LAST OPTION

Step-by-step explanation:

To solve thiss problem you need to keep on mind the the negative exponent rule, which is shown below:

$a^{-b}=\frac{1}{a^{b}}$

Therefore, the negative exponent indicates that 6 actually is in the denominator, then you can rewrite it as following:

$6^{-3}=(\frac{1}{6})^{3}$

Then the answer is the last option.

Answer 2

Answer:

Choice D is correct. (1/6)³ is the equivalent  to 6⁻³.

Step-by-step explanation:

We have given the following expression:

6⁻³

We have to find the equivalent expression to given expression.

We use the following formula to find the equivalent expression :

(x)⁻¹ = 1/x

The negative power shows that  the number is in the denominator.

So,

6⁻³ = (1/6)³

(1/6)³ is the equivalent  to 6⁻³.

Choice D is correct.