Solve 910^9410^-6610^-6/10^-2

$$\frac{ 9 { 10 }^{ 9 } 4 { 10 }^{ -6 } 6 { 10 }^{ -6 } }{ { 10 }^{ -2 } }$$

Evaluate

$$\frac{108}{5}=21.6$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 9 and -6 to get 3.

$$\frac{9\times 10^{3}\times 4\times 6\times 10^{-6}}{10^{-2}}$$

To multiply powers of the same base, add their exponents. Add 3 and -6 to get -3.

$$\frac{9\times 10^{-3}\times 4\times 6}{10^{-2}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{4\times 6\times 9}{10^{1}}$$

Multiply 4 and 6 to get 24.

$$\frac{24\times 9}{10^{1}}$$

Multiply 24 and 9 to get 216.

$$\frac{216}{10^{1}}$$

Calculate 10 to the power of 1 and get 10.

$$\frac{216}{10}$$

Reduce the fraction \frac{216}{10} to lowest terms by extracting and canceling out 2.

$$\frac{108}{5}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {3}}{5} = 21\frac{3}{5} = 21.6$$