Solve 533*10^12:2.3*10^10

$$533 \times 10 ^ { 12 } : 2.3 \times 10 ^ { 10 }$$

Evaluate

$$\frac{53300000000000000000000000}{23}\approx 2.317391304 \cdot 10^{24}$$

Solution Steps

Calculate 10 to the power of 12 and get 1000000000000.

$$\frac{533\times 1000000000000}{2.3}\times 10^{10}$$

Multiply 533 and 1000000000000 to get 533000000000000.

$$\frac{533000000000000}{2.3}\times 10^{10}$$

Expand \frac{533000000000000}{2.3} by multiplying both numerator and the denominator by 10.

$$\frac{5330000000000000}{23}\times 10^{10}$$

Calculate 10 to the power of 10 and get 10000000000.

$$\frac{5330000000000000}{23}\times 10000000000$$

Express \frac{5330000000000000}{23}\times 10000000000 as a single fraction.

$$\frac{5330000000000000\times 10000000000}{23}$$

Multiply 5330000000000000 and 10000000000 to get 53300000000000000000000000.

$$\frac{53300000000000000000000000}{23}$$

Factor

$$\frac{13 \cdot 41 \cdot 2 ^ {23} \cdot 5 ^ {23}}{23} = 2.317391304347826 \times 10^{24}\frac{9}{23} = 2.317391304347826 \times 10^{24}$$