Solve x=9*10^9*3*10^-6*3*10^-6/{left(3*10^-2right)^2}

$$x= \frac{ 9 \times { 10 }^{ 9 } \times 3 \times { 10 }^{ -6 } \times 3 \times { 10 }^{ -6 } }{ { \left(3 \times { 10 }^{ -2 } \right) }^{ 2 } }$$

Solve for x

$$x=90$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add 9 and -6 to get 3.

$$x=\frac{9\times 10^{3}\times 3\times 3\times 10^{-6}}{\left(3\times 10^{-2}\right)^{2}}$$

To multiply powers of the same base, add their exponents. Add 3 and -6 to get -3.

$$x=\frac{9\times 10^{-3}\times 3\times 3}{\left(3\times 10^{-2}\right)^{2}}$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$x=\frac{9\times \frac{1}{1000}\times 3\times 3}{\left(3\times 10^{-2}\right)^{2}}$$

Multiply 9 and \frac{1}{1000} to get \frac{9}{1000}.

$$x=\frac{\frac{9}{1000}\times 3\times 3}{\left(3\times 10^{-2}\right)^{2}}$$

Multiply \frac{9}{1000} and 3 to get \frac{27}{1000}.

$$x=\frac{\frac{27}{1000}\times 3}{\left(3\times 10^{-2}\right)^{2}}$$

Multiply \frac{27}{1000} and 3 to get \frac{81}{1000}.

$$x=\frac{\frac{81}{1000}}{\left(3\times 10^{-2}\right)^{2}}$$

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$x=\frac{\frac{81}{1000}}{\left(3\times \frac{1}{100}\right)^{2}}$$

Multiply 3 and \frac{1}{100} to get \frac{3}{100}.

$$x=\frac{\frac{81}{1000}}{\left(\frac{3}{100}\right)^{2}}$$

Calculate \frac{3}{100} to the power of 2 and get \frac{9}{10000}.

$$x=\frac{\frac{81}{1000}}{\frac{9}{10000}}$$

Divide \frac{81}{1000} by \frac{9}{10000} by multiplying \frac{81}{1000} by the reciprocal of \frac{9}{10000}.

$$x=\frac{81}{1000}\times \frac{10000}{9}$$

Multiply \frac{81}{1000} and \frac{10000}{9} to get 90.

$$x=90$$

Assign x

$$x≔90$$