Solve =225*98*10^-11/32*100

$$= \frac { 225 \times 98 \times 10 ^ { - 11 } } { 32 \times 100 }$$

Evaluate

$$\frac{441}{6400000000000}=6.890625 \cdot 10^{-11}$$

Solution Steps

Cancel out 2\times 25 in both numerator and denominator.

$$\frac{9\times 49\times 10^{-11}}{4\times 16}$$

Multiply 9 and 49 to get 441.

$$\frac{441\times 10^{-11}}{4\times 16}$$

Calculate 10 to the power of -11 and get \frac{1}{100000000000}.

$$\frac{441\times \frac{1}{100000000000}}{4\times 16}$$

Multiply 441 and \frac{1}{100000000000} to get \frac{441}{100000000000}.

$$\frac{\frac{441}{100000000000}}{4\times 16}$$

Multiply 4 and 16 to get 64.

$$\frac{\frac{441}{100000000000}}{64}$$

Express \frac{\frac{441}{100000000000}}{64} as a single fraction.

$$\frac{441}{100000000000\times 64}$$

Multiply 100000000000 and 64 to get 6400000000000.

$$\frac{441}{6400000000000}$$

Factor

$$\frac{3 ^ {2} \cdot 7 ^ {2}}{2 ^ {17} \cdot 5 ^ {11}} = 6.890625000000001 \times 10^{-11}$$