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Question

What is the value of the power $$6^{-4}$$?


Solution

$$\dfrac{1}{1296}$$
Explanation : 
$$6^{-4}$$
Oh! this is a negative exponent
So use,
$$x^{−y}=\dfrac{1}{x^y}$$
And if you don't know what $$x^y$$ means, see this
$$x^y= \underbrace { x⋅x⋅x}_{y \ times}$$
so,
$$\to 6^{-4} = \dfrac{1}{6^4}$$
$$\to \dfrac{1}{6.6.6.6}$$
$$\to \dfrac{1}{1296} = 0.000771$$
And ⋅ means multiplication (×)

Mathematics

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