Solve (10^2)^410^3/10^5

$$\frac { ( 10 ^ { 2 } ) ^ { 4 } 10 ^ { 3 } } { 10 ^ { 5 } }$$

Evaluate

$$1000000$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 2 and 4 to get 8.

$$\frac{10^{8}\times 10^{3}}{10^{5}}$$

To multiply powers of the same base, add their exponents. Add 8 and 3 to get 11.

$$\frac{10^{11}}{10^{5}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 5 from 11 to get 6.

$$10^{6}$$

Calculate 10 to the power of 6 and get 1000000.

$$1000000$$

Factor

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