Question

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

Solution

## $$\dfrac{1}{1296}$$Explanation : $$6^{-4}$$Oh! this is a negative exponentSo 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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