Solve 910^9410^-4310^-2/5^2

$$\frac{ 9 { 10 }^{ 9 } 4 { 10 }^{ -4 } 3 { 10 }^{ -2 } }{ { 5 }^{ 2 } }$$

Evaluate

$$4320$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 9 and -4 to get 5.

$$\frac{9\times 10^{5}\times 4\times 3\times 10^{-2}}{5^{2}}$$

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

$$\frac{9\times 10^{3}\times 4\times 3}{5^{2}}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{9\times 1000\times 4\times 3}{5^{2}}$$

Multiply 9 and 1000 to get 9000.

$$\frac{9000\times 4\times 3}{5^{2}}$$

Multiply 9000 and 4 to get 36000.

$$\frac{36000\times 3}{5^{2}}$$

Multiply 36000 and 3 to get 108000.

$$\frac{108000}{5^{2}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{108000}{25}$$

Divide 108000 by 25 to get 4320.

$$4320$$

Factor

$$2^{5}\times 3^{3}\times 5$$