Solve 9*10^8*3,2*1,6*10^-19*10^-19/(0,2*10^-15)*3*3=

$$\frac { 9 \cdot 10 ^ { 8 } \cdot 3,2 \cdot 1,6 \cdot 10 ^ { - 19 } \cdot 10 ^ { - 19 } } { ( 0,2 \cdot 10 ^ { - 15 } ) \cdot 3 \cdot 3 } =$$

Evaluate

$$0,0000000000000256$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 8 and -19 to get -11.

$$\frac{9\times 10^{-11}\times 3,2\times 1,6\times 10^{-19}}{0,2\times 10^{-15}\times 3\times 3}$$

To multiply powers of the same base, add their exponents. Add -11 and -19 to get -30.

$$\frac{9\times 10^{-30}\times 3,2\times 1,6}{0,2\times 10^{-15}\times 3\times 3}$$

Cancel out 3\times 3 in both numerator and denominator.

$$\frac{1,6\times 3,2\times 10^{-30}}{0,2\times 10^{-15}}$$

To divide powers of the same base, subtract the numerator's exponent from the denominator's exponent.

$$\frac{1,6\times 3,2}{0,2\times 10^{15}}$$

Multiply 1,6 and 3,2 to get 5,12.

$$\frac{5,12}{0,2\times 10^{15}}$$

Calculate 10 to the power of 15 and get 1000000000000000.

$$\frac{5,12}{0,2\times 1000000000000000}$$

Multiply 0,2 and 1000000000000000 to get 200000000000000.

$$\frac{5,12}{200000000000000}$$

Expand \frac{5,12}{200000000000000} by multiplying both numerator and the denominator by 100.

$$\frac{512}{20000000000000000}$$

Reduce the fraction \frac{512}{20000000000000000} to lowest terms by extracting and canceling out 512.

$$\frac{1}{39062500000000}$$

Factor

$$\frac{1}{2 ^ {8} \cdot 5 ^ {16}} = 2.56 \times 10^{-14}$$