Express using positive exponents. Then simplify.
-$(-3)^{-4}$
A) $\frac{1}{12}$
B) $-\frac{1}{81}$
C) - 81
D) 81

Question

Quizplus · Accepted Answer

To express $(-3)^{-4}$ with positive exponents and simplify, we use the rule $a^{-n} = \frac{1}{a^n}$. Thus, $(-3)^{-4} = \frac{1}{(-3)^4} = \frac{1}{81}$. However, since the base is negative and the exponent is even, the result is positive, making the correct answer $-\frac{1}{81}$ because the negative sign is outside the exponentiation.

Express Using Positive Exponents (−3)−4(-3)^{-4}(−3)−4 A) 112\frac{1}{12}121​ B) −181-\frac{1}{81}−811​ C) - 81 D) 81

Express Using Positive Exponents $(-3)^{-4}$ A) $\frac{1}{12}$ B) $-\frac{1}{81}$ C) - 81
D) 81