Solve 14^-5*(14^3)^2*14^-2

$$14 ^ { - 5 } \cdot ( 14 ^ { 3 } ) ^ { 2 } \cdot 14 ^ { - 2 }$$

Evaluate

$$\frac{1}{14}\approx 0.071428571$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 3 and 2 to get 6.

$$14^{-5}\times 14^{6}\times 14^{-2}$$

To multiply powers of the same base, add their exponents. Add -5 and 6 to get 1.

$$14^{1}\times 14^{-2}$$

To multiply powers of the same base, add their exponents. Add 1 and -2 to get -1.

$$14^{-1}$$

Calculate 14 to the power of -1 and get \frac{1}{14}.

$$\frac{1}{14}$$

Factor

$$\frac{1}{2 \cdot 7} = 0.07142857142857142$$