Question

test information description instructions multiple attempts this test allows multiple attempts. force completion this test can be saved and resumed later. your answers are saved automatically. question completion status: moving to another question will save this response. question 2 for positive real number x, 3^{-x}=-3^{x}. true false moving to another question will save this response.

Explanation:

Step1: Analyze left - hand side

For positive real number $x$, by the definition of negative exponents $a^{-n}=\frac{1}{a^{n}}$, so $3^{-x}=\frac{1}{3^{x}}>0$.

Step2: Analyze right - hand side

For positive real number $x$, $3^{x}>0$, then $- 3^{x}<0$.

Step3: Compare both sides

A positive number ($3^{-x}$) cannot be equal to a negative number ($-3^{x}$).

Answer:

B. False