Solve 66*10^-34/514*10^-26*719*10^3

$$\frac { 66 \cdot 10 ^ { - 34 } } { 514 \cdot 10 ^ { - 26 } \cdot 719 \cdot 10 ^ { 3 } }$$

Evaluate

$$\frac{33}{18478300000000000}\approx 1.785878571 \cdot 10^{-15}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -26 and 3 to get -23.

$$\frac{66\times 10^{-34}}{514\times 10^{-23}\times 719}$$

Cancel out 2 in both numerator and denominator.

$$\frac{33\times 10^{-34}}{257\times 719\times 10^{-23}}$$

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

$$\frac{33}{257\times 719\times 10^{11}}$$

Multiply 257 and 719 to get 184783.

$$\frac{33}{184783\times 10^{11}}$$

Calculate 10 to the power of 11 and get 100000000000.

$$\frac{33}{184783\times 100000000000}$$

Multiply 184783 and 100000000000 to get 18478300000000000.

$$\frac{33}{18478300000000000}$$

Factor

$$\frac{3 \cdot 11}{2 ^ {11} \cdot 5 ^ {11} \cdot 257 \cdot 719} = 1.785878571080673 \times 10^{-15}$$