To solve, we must first simplify the negative exponents by shifting them to the other side of the fraction:

Then we can simply the multiplied like bases by adding their exponents:

First we can simplify the numerator's parentheses by adding the like bases' exponents:

We can then simplify the numerator further by multiplying the base's exponent by the exponent to which it is raised:

We can then subtract the denominator's exponent from the numerator's:

Simplify the following expression:

Let's begin by simplifying the fraction. Recall that when dividing exponents of similar base, we need to subtract the exponents. We can treat the 343 and the 49 just like regular fractions.

Note that then we perform the subtraction step to get our final answer:

The multiplicative inverse of a number is the number which, when multiplied by that number, yields product 1. Since  is the multiplicative inverse of , then 

, or .

The additive inverse of a number is the number which, when added to that number, yields sum 0. Since  is the additive inverse of  , 

It follows that

Any nonzero number raised to the power of 0 is equal to 1. Therefore, 

, the correct choice.

The additive inverse of a number is the number which, when added to that number, yields sum 0. Since  is the additive inverse of , 

, or 

The multiplicative inverse of a number is the number which, when multiplied by that number, yields product 1. Since  is the multiplicative inverse of , then 

.

It follows that

, the correct response.

The multiplicative inverse of a number is the number which, when multiplied by that number, yields product 1. Since  is the multiplicative inverse of , then 

.

The additive inverse of a number is the number which, when added to that number, yields sum 0. Since  is the additive inverse of  , 

, or .

It follows that

, the correct response.

The additive inverse of a number is the number which, when added to that number, yields sum 0; the multiplicative inverse of a number is the number which, when multiplied by that number, yields product 1.

Let  be the multiplicative inverse of . Then 

, or, equivalently, .

 is the additive inverse of this number, so

By similar reasoning, , and

Divide:

Substitute:

The additive inverse of a number is the number which, when added to that number, yields sum 0. Since  is the additive inverse of , 

The multiplicative inverse of a number is the number which, when multiplied by that number, yields product 1. Since  is the multiplicative inverse of , then 

, or .

It follows that

.

0 raised to any nonzero power is equal to 0, and  must be nonzero, so

, the correct response.

The additive inverse of a number is the number which, when added to that number, yields sum 0. Since  is the additive inverse of  and  is the additive inverse of , 

and 

,

which is an undefined expression.