Solve 6625*10^-34*3*8^10/425*10^-4*16*10^-19-196

$$\frac{ 6625 \times { 10 }^{ -34 } \times 3 \times { 8 }^{ 10 } }{ 425 \times { 10 }^{ -4 } \times 16 \times { 10 }^{ -19 } } -196$$

Evaluate

$$-\frac{32533852388}{166015625}\approx -195.968616737$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -4 and -19 to get -23.

$$\frac{6625\times 10^{-34}\times 3\times 8^{10}}{425\times 10^{-23}\times 16}-196$$

Cancel out 25 in both numerator and denominator.

$$\frac{3\times 265\times 8^{10}\times 10^{-34}}{16\times 17\times 10^{-23}}-196$$

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

$$\frac{3\times 265\times 8^{10}}{16\times 17\times 10^{11}}-196$$

Multiply 3 and 265 to get 795.

$$\frac{795\times 8^{10}}{16\times 17\times 10^{11}}-196$$

Calculate 8 to the power of 10 and get 1073741824.

$$\frac{795\times 1073741824}{16\times 17\times 10^{11}}-196$$

Multiply 795 and 1073741824 to get 853624750080.

$$\frac{853624750080}{16\times 17\times 10^{11}}-196$$

Multiply 16 and 17 to get 272.

$$\frac{853624750080}{272\times 10^{11}}-196$$

Calculate 10 to the power of 11 and get 100000000000.

$$\frac{853624750080}{272\times 100000000000}-196$$

Multiply 272 and 100000000000 to get 27200000000000.

$$\frac{853624750080}{27200000000000}-196$$

Reduce the fraction \frac{853624750080}{27200000000000} to lowest terms by extracting and canceling out 163840.

$$\frac{5210112}{166015625}-196$$

Subtract 196 from \frac{5210112}{166015625} to get -\frac{32533852388}{166015625}.

$$-\frac{32533852388}{166015625}$$

Factor

$$-\frac{32533852388}{166015625} = -195\frac{160805513}{166015625} = -195.96861673712942$$