Solve 10^5*942*10^3div8.31*293

$${ 10 }^{ 5 } \times 942 \times { 10 }^{ 3 } \div 8.31 \times 293$$

Evaluate

$$\frac{920020000000000}{277}\approx 3.321371841 \cdot 10^{12}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 5 and 3 to get 8.

$$\frac{10^{8}\times 942}{8.31}\times 293$$

Calculate 10 to the power of 8 and get 100000000.

$$\frac{100000000\times 942}{8.31}\times 293$$

Multiply 100000000 and 942 to get 94200000000.

$$\frac{94200000000}{8.31}\times 293$$

Expand \frac{94200000000}{8.31} by multiplying both numerator and the denominator by 100.

$$\frac{9420000000000}{831}\times 293$$

Reduce the fraction \frac{9420000000000}{831} to lowest terms by extracting and canceling out 3.

$$\frac{3140000000000}{277}\times 293$$

Express \frac{3140000000000}{277}\times 293 as a single fraction.

$$\frac{3140000000000\times 293}{277}$$

Multiply 3140000000000 and 293 to get 920020000000000.

$$\frac{920020000000000}{277}$$

Factor

$$\frac{157 \cdot 293 \cdot 2 ^ {11} \cdot 5 ^ {10}}{277} = 3321371841155\frac{65}{277} = 3321371841155.235$$