Solve x=5,6*10^-7*2,25*10^8/3*10^8

$$x = \frac { 5,6 \cdot 10 ^ { - 7 } \cdot 2,25 \cdot 10 ^ { 8 } } { 3 \cdot 10 ^ { 8 } }$$

Solve for x

$$x=0,00000042$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add -7 and 8 to get 1.

$$x=\frac{5,6\times 10^{1}\times 2,25}{3\times 10^{8}}$$

Cancel out 10 in both numerator and denominator.

$$x=\frac{2,25\times 5,6}{3\times 10^{7}}$$

Multiply 2,25 and 5,6 to get 12,6.

$$x=\frac{12,6}{3\times 10^{7}}$$

Calculate 10 to the power of 7 and get 10000000.

$$x=\frac{12,6}{3\times 10000000}$$

Multiply 3 and 10000000 to get 30000000.

$$x=\frac{12,6}{30000000}$$

Expand \frac{12,6}{30000000} by multiplying both numerator and the denominator by 10.

$$x=\frac{126}{300000000}$$

Reduce the fraction \frac{126}{300000000} to lowest terms by extracting and canceling out 6.

$$x=\frac{21}{50000000}$$

Assign x

$$x≔0,00000042$$