Solve 729*10^-6*(1000^2/1)*(100^2/1)

$$729 \times { 10 }^{ -6 } \times ( \frac{ { 1000 }^{ 2 } }{ 1 } ) \times ( \frac{ { 100 }^{ 2 } }{ 1 } )$$

Evaluate

$$7290000$$

Solution Steps

Calculate 10 to the power of -6 and get \frac{1}{1000000}.

$$729\times \frac{1}{1000000}\times \frac{1000^{2}}{1}\times \frac{100^{2}}{1}$$

Multiply 729 and \frac{1}{1000000} to get \frac{729}{1000000}.

$$\frac{729}{1000000}\times \frac{1000^{2}}{1}\times \frac{100^{2}}{1}$$

Calculate 1000 to the power of 2 and get 1000000.

$$\frac{729}{1000000}\times \frac{1000000}{1}\times \frac{100^{2}}{1}$$

Anything divided by one gives itself.

$$\frac{729}{1000000}\times 1000000\times \frac{100^{2}}{1}$$

Multiply \frac{729}{1000000} and 1000000 to get 729.

$$729\times \frac{100^{2}}{1}$$

Calculate 100 to the power of 2 and get 10000.

$$729\times \frac{10000}{1}$$

Anything divided by one gives itself.

$$729\times 10000$$

Multiply 729 and 10000 to get 7290000.

$$7290000$$

Factor

$$2^{4}\times 3^{6}\times 5^{4}$$