Solve (10^4)^3*10^2*5^-14

$$( 10 ^ { 4 } ) ^ { 3 } \times 10 ^ { 2 } \times 5 ^ { - 14 }$$

Evaluate

$$16384$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 4 and 3 to get 12.

$$10^{12}\times 10^{2}\times 5^{-14}$$

To multiply powers of the same base, add their exponents. Add 12 and 2 to get 14.

$$10^{14}\times 5^{-14}$$

Calculate 10 to the power of 14 and get 100000000000000.

$$100000000000000\times 5^{-14}$$

Calculate 5 to the power of -14 and get \frac{1}{6103515625}.

$$100000000000000\times \frac{1}{6103515625}$$

Multiply 100000000000000 and \frac{1}{6103515625} to get 16384.

$$16384$$

Factor

$$2^{14}$$