Solve 3fs^-2=310^-66Es^-2

$$3 f s ^ { - 2 } = 310 ^ { - 66 } Es ^ { - 2 }$$

Solve for E

$$E=807222108073914493668601406132662514121377339805251439052009765863267823858655923885985457129157443000000000000000000000000000000000000000000000000000000000000000000f$$

$$s\neq 0$$

Steps for Solving Linear Equation

Calculate 310 to the power of -66 and get \frac{1}{269074036024638164556200468710887504707125779935083813017336588621089274619551974628661819043052481000000000000000000000000000000000000000000000000000000000000000000}.

$$3fs^{-2}=\frac{1}{269074036024638164556200468710887504707125779935083813017336588621089274619551974628661819043052481000000000000000000000000000000000000000000000000000000000000000000}Es^{-2}$$

Swap sides so that all variable terms are on the left hand side.

$$\frac{1}{269074036024638164556200468710887504707125779935083813017336588621089274619551974628661819043052481000000000000000000000000000000000000000000000000000000000000000000}Es^{-2}=3fs^{-2}$$

The equation is in standard form.

$$\frac{1}{269074036024638164556200468710887504707125779935083813017336588621089274619551974628661819043052481000000000000000000000000000000000000000000000000000000000000000000s^{2}}E=\frac{3f}{s^{2}}$$

Divide both sides by \frac{1}{269074036024638164556200468710887504707125779935083813017336588621089274619551974628661819043052481000000000000000000000000000000000000000000000000000000000000000000}s^{-2}.

$$\frac{\frac{1}{269074036024638164556200468710887504707125779935083813017336588621089274619551974628661819043052481000000000000000000000000000000000000000000000000000000000000000000s^{2}}E\times 269074036024638164556200468710887504707125779935083813017336588621089274619551974628661819043052481000000000000000000000000000000000000000000000000000000000000000000s^{2}}{1}=\frac{3f}{s^{2}\times \frac{1}{269074036024638164556200468710887504707125779935083813017336588621089274619551974628661819043052481000000000000000000000000000000000000000000000000000000000000000000s^{2}}}$$

Dividing by \frac{1}{269074036024638164556200468710887504707125779935083813017336588621089274619551974628661819043052481000000000000000000000000000000000000000000000000000000000000000000}s^{-2} undoes the multiplication by \frac{1}{269074036024638164556200468710887504707125779935083813017336588621089274619551974628661819043052481000000000000000000000000000000000000000000000000000000000000000000}s^{-2}.

$$E=\frac{3f}{s^{2}\times \frac{1}{269074036024638164556200468710887504707125779935083813017336588621089274619551974628661819043052481000000000000000000000000000000000000000000000000000000000000000000s^{2}}}$$

Divide \frac{3f}{s^{2}} by \frac{1}{269074036024638164556200468710887504707125779935083813017336588621089274619551974628661819043052481000000000000000000000000000000000000000000000000000000000000000000}s^{-2}.

$$E=807222108073914493668601406132662514121377339805251439052009765863267823858655923885985457129157443000000000000000000000000000000000000000000000000000000000000000000f$$

Solve for f

$$f=\frac{E}{807222108073914493668601406132662514121377339805251439052009765863267823858655923885985457129157443000000000000000000000000000000000000000000000000000000000000000000}$$

$$s\neq 0$$

Steps for Solving Linear Equation

Calculate 310 to the power of -66 and get \frac{1}{269074036024638164556200468710887504707125779935083813017336588621089274619551974628661819043052481000000000000000000000000000000000000000000000000000000000000000000}.

$$3fs^{-2}=\frac{1}{269074036024638164556200468710887504707125779935083813017336588621089274619551974628661819043052481000000000000000000000000000000000000000000000000000000000000000000}Es^{-2}$$

The equation is in standard form.

$$\frac{3}{s^{2}}f=\frac{E}{269074036024638164556200468710887504707125779935083813017336588621089274619551974628661819043052481000000000000000000000000000000000000000000000000000000000000000000s^{2}}$$

Divide both sides by 3s^{-2}.

$$\frac{\frac{3}{s^{2}}fs^{2}}{3}=\frac{E}{269074036024638164556200468710887504707125779935083813017336588621089274619551974628661819043052481000000000000000000000000000000000000000000000000000000000000000000s^{2}\times \frac{3}{s^{2}}}$$

Dividing by 3s^{-2} undoes the multiplication by 3s^{-2}.

$$f=\frac{E}{269074036024638164556200468710887504707125779935083813017336588621089274619551974628661819043052481000000000000000000000000000000000000000000000000000000000000000000s^{2}\times \frac{3}{s^{2}}}$$

Divide \frac{E}{269074036024638164556200468710887504707125779935083813017336588621089274619551974628661819043052481000000000000000000000000000000000000000000000000000000000000000000s^{2}} by 3s^{-2}.

$$f=\frac{E}{807222108073914493668601406132662514121377339805251439052009765863267823858655923885985457129157443000000000000000000000000000000000000000000000000000000000000000000}$$