Write the expression with only positive exponents and evaluate if possible. Assume all variables represent nonzero real
numbers.
-$$\frac { \frac { 1 } { a } + 1 } { \frac { 1 } { a } - 1 }$$
A) 1

B) $\frac { 1 + a } { 1 - a }$

C) $\frac { a } { 1 - a ^ { 2 } }$

D) $1 - a ^ { 2 }$

Question

Write the expression with only positive exponents and evaluate if possible. Assume all variables represent nonzero real
numbers.
-$$\frac { \frac { 1 } { a } + 1 } { \frac { 1 } { a } - 1 }$$
A) 1

B) $\frac { 1 + a } { 1 - a }$

C) $\frac { a } { 1 - a ^ { 2 } }$

D) $1 - a ^ { 2 }$

Quizplus · Accepted Answer

To simplify the given expression, we first find a common denominator for the numerator, which is $a$. This gives us $\frac { 1 + a } { a }$ for the numerator. For the denominator, we do a similar process, which gives us $\frac { 1 - a } { a }$. Simplifying the complex fraction by multiplying the numerator by the reciprocal of the denominator, we get $\frac { 1 + a } { 1 - a }$, which matches choice B.

Write the Expression with Only Positive Exponents and Evaluate If 1a+11a−1\frac { \frac { 1 } { a } + 1 } { \frac { 1 } { a } - 1 }a1​−1a1​+1​

Write the Expression with Only Positive Exponents and Evaluate If $\frac { \frac { 1 } { a } + 1 } { \frac { 1 } { a } - 1 }$