Solve 1.01*10^5*10^-6=X(8.314)(294)

$$1.01 \times 10 ^ { 5 } \times 10 ^ { - 6 } = X ( 8.314 ) ( 294 )$$

Solve for X

$$X=\frac{101}{2444316}\approx 0.00004132$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add 5 and -6 to get -1.

$$1.01\times 10^{-1}=X\times 8.314\times 294$$

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

$$1.01\times \frac{1}{10}=X\times 8.314\times 294$$

Multiply 1.01 and \frac{1}{10} to get \frac{101}{1000}.

$$\frac{101}{1000}=X\times 8.314\times 294$$

Multiply 8.314 and 294 to get 2444.316.

$$\frac{101}{1000}=X\times 2444.316$$

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

$$X\times 2444.316=\frac{101}{1000}$$

Divide both sides by 2444.316.

$$X=\frac{\frac{101}{1000}}{2444.316}$$

Express \frac{\frac{101}{1000}}{2444.316} as a single fraction.

$$X=\frac{101}{1000\times 2444.316}$$

Multiply 1000 and 2444.316 to get 2444316.

$$X=\frac{101}{2444316}$$