Solve 910^9610^-6/0.282^2=

$$\frac{ 9 { 10 }^{ 9 } 6 { 10 }^{ -6 } }{ { 0.282 }^{ 2 } } =$$

Evaluate

$$\frac{1500000000}{2209}\approx 679040.289723857$$

Solution Steps

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

$$\frac{9\times 10^{3}\times 6}{0.282^{2}}$$

Calculate 10 to the power of 3 and get 1000.

$$\frac{9\times 1000\times 6}{0.282^{2}}$$

Multiply 9 and 1000 to get 9000.

$$\frac{9000\times 6}{0.282^{2}}$$

Multiply 9000 and 6 to get 54000.

$$\frac{54000}{0.282^{2}}$$

Calculate 0.282 to the power of 2 and get 0.079524.

$$\frac{54000}{0.079524}$$

Expand \frac{54000}{0.079524} by multiplying both numerator and the denominator by 1000000.

$$\frac{54000000000}{79524}$$

Reduce the fraction \frac{54000000000}{79524} to lowest terms by extracting and canceling out 36.

$$\frac{1500000000}{2209}$$

Factor

$$\frac{3 \cdot 2 ^ {8} \cdot 5 ^ {9}}{47 ^ {2}} = 679040\frac{640}{2209} = 679040.289723857$$