Question

The Value of $(-3)^{-4}$ is

(a) 12
(b) 81
(c) -1/12
(d) 1/81

-- With Steps --​

Answer 1

Solution :-

We have :

$\bold {(-3)^{-4}} \Rightarrow \frac{1}{(-3)^4} = \bold {\frac{1}{81}}$

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Law Used :-

Using the Law of Exponent, $\boxed {\bold {a^{-m} = \frac{1}{a^m}}}$

-

Hence,

The Value of $(-3)^{-4}$ is $\bold {\frac{1}{81}}$...

Option D is the Right Answer...

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#HappyLearning!

Answer 2

QUESTION IS: THE VALUE OF (-3)^ -4 .

ANSWER WILL BE:

SIMPLY (-3)^ -4 AS 1/(-3)⁴

{USING THE LAW OF EXPONENT 1/M = 1/M^ -1 }.

THEREFORE, BY FURTHER SIMPLIFICATION;

WE GET : 1/(-3)⁴ AS 1/81.

SO THE ANSWER IS OPTION (D).

HOPE IT HELPS YOU MATE !