Solve 2-5x-5^-3*625/10^-7*6^-5

$$\frac { 2 - 5 x - 5 ^ { - 3 } \times 625 } { 10 ^ { - 7 } \times 6 ^ { - 5 } }$$

Evaluate

$$-388800000000x-233280000000$$

Solution Steps

Calculate 5 to the power of -3 and get \frac{1}{125}.

$$\frac{2-5x-\frac{1}{125}\times 625}{10^{-7}\times 6^{-5}}$$

Multiply \frac{1}{125} and 625 to get 5.

$$\frac{2-5x-5}{10^{-7}\times 6^{-5}}$$

Subtract 5 from 2 to get -3.

$$\frac{-3-5x}{10^{-7}\times 6^{-5}}$$

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$\frac{-3-5x}{\frac{1}{10000000}\times 6^{-5}}$$

Calculate 6 to the power of -5 and get \frac{1}{7776}.

$$\frac{-3-5x}{\frac{1}{10000000}\times \frac{1}{7776}}$$

Multiply \frac{1}{10000000} and \frac{1}{7776} to get \frac{1}{77760000000}.

$$\frac{-3-5x}{\frac{1}{77760000000}}$$

Divide -3-5x by \frac{1}{77760000000} by multiplying -3-5x by the reciprocal of \frac{1}{77760000000}.

$$\left(-3-5x\right)\times 77760000000$$

Use the distributive property to multiply -3-5x by 77760000000.

$$-233280000000-388800000000x$$

Expand

$$-388800000000x-233280000000$$

Solution Steps

Calculate 5 to the power of -3 and get \frac{1}{125}.

$$\frac{2-5x-\frac{1}{125}\times 625}{10^{-7}\times 6^{-5}}$$

Multiply \frac{1}{125} and 625 to get 5.

$$\frac{2-5x-5}{10^{-7}\times 6^{-5}}$$

Subtract 5 from 2 to get -3.

$$\frac{-3-5x}{10^{-7}\times 6^{-5}}$$

Calculate 10 to the power of -7 and get \frac{1}{10000000}.

$$\frac{-3-5x}{\frac{1}{10000000}\times 6^{-5}}$$

Calculate 6 to the power of -5 and get \frac{1}{7776}.

$$\frac{-3-5x}{\frac{1}{10000000}\times \frac{1}{7776}}$$

Multiply \frac{1}{10000000} and \frac{1}{7776} to get \frac{1}{77760000000}.

$$\frac{-3-5x}{\frac{1}{77760000000}}$$

Divide -3-5x by \frac{1}{77760000000} by multiplying -3-5x by the reciprocal of \frac{1}{77760000000}.

$$\left(-3-5x\right)\times 77760000000$$

Use the distributive property to multiply -3-5x by 77760000000.

$$-233280000000-388800000000x$$