Question

Which expression is equivalent to

Answer 1

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

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.

Answer 2

Answer: LAST OPTION

Explanation:

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

`a^(-b)=(1)/(a^(b))`

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

`6^(-3)=((1)/(6))^(3)`

Then the answer is the last option.