Solve {left(10^5*10^-2/10^-4right)}^2

$${ \left( \frac{ { 10 }^{ 5 } \times { 10 }^{ -2 } }{ { 10 }^{ -4 } } \right) }^{ 2 }$$

Evaluate

$$100000000000000$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 5 and -2 to get 3.

$$\left(\frac{10^{3}}{10^{-4}}\right)^{2}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract -4 from 3 to get 7.

$$\left(10^{7}\right)^{2}$$

Calculate 10 to the power of 7 and get 10000000.

$$10000000^{2}$$

Calculate 10000000 to the power of 2 and get 100000000000000.

$$100000000000000$$

Factor

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