Solve 1152*375*10^5*10/158*158

$$\frac { 1152 \times 375 \times 10 ^ { 5 } \times 10 } { 158 \times 158 }$$

Evaluate

$$\frac{108000000000}{6241}\approx 17304919.083480212$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 5 and 1 to get 6.

$$\frac{1152\times 375\times 10^{6}}{158\times 158}$$

Cancel out 2\times 2 in both numerator and denominator.

$$\frac{288\times 375\times 10^{6}}{79\times 79}$$

Multiply 288 and 375 to get 108000.

$$\frac{108000\times 10^{6}}{79\times 79}$$

Calculate 10 to the power of 6 and get 1000000.

$$\frac{108000\times 1000000}{79\times 79}$$

Multiply 108000 and 1000000 to get 108000000000.

$$\frac{108000000000}{79\times 79}$$

Multiply 79 and 79 to get 6241.

$$\frac{108000000000}{6241}$$

Factor

$$\frac{2 ^ {11} \cdot 3 ^ {3} \cdot 5 ^ {9}}{79 ^ {2}} = 17304919\frac{521}{6241} = 17304919.083480213$$