Solve (4^-1+5^-1+6^-1)^0

$$( 4 ^ { - 1 } + 5 ^ { - 1 } + 6 ^ { - 1 } ) ^ { 0 }$$

Evaluate

$$1$$

Solution Steps

Calculate 4 to the power of -1 and get \frac{1}{4}.

$$\left(\frac{1}{4}+5^{-1}+6^{-1}\right)^{0}$$

Calculate 5 to the power of -1 and get \frac{1}{5}.

$$\left(\frac{1}{4}+\frac{1}{5}+6^{-1}\right)^{0}$$

Add \frac{1}{4} and \frac{1}{5} to get \frac{9}{20}.

$$\left(\frac{9}{20}+6^{-1}\right)^{0}$$

Calculate 6 to the power of -1 and get \frac{1}{6}.

$$\left(\frac{9}{20}+\frac{1}{6}\right)^{0}$$

Add \frac{9}{20} and \frac{1}{6} to get \frac{37}{60}.

$$\left(\frac{37}{60}\right)^{0}$$

Calculate \frac{37}{60} to the power of 0 and get 1.

$$1$$

Factor

$$1$$