Solve 3^-2(5^-3)/9^7125^-4

$$\frac{ { 3 }^{ -2 } ( { 5 }^{ -3 } ) }{ { 9 }^{ 7 } { 125 }^{ -4 } }$$

Evaluate

$$\frac{1953125}{43046721}\approx 0.045372213$$

Solution Steps

Calculate 3 to the power of -2 and get \frac{1}{9}.

$$\frac{\frac{1}{9}\times 5^{-3}}{9^{7}\times 125^{-4}}$$

Calculate 5 to the power of -3 and get \frac{1}{125}.

$$\frac{\frac{1}{9}\times \frac{1}{125}}{9^{7}\times 125^{-4}}$$

Multiply \frac{1}{9} and \frac{1}{125} to get \frac{1}{1125}.

$$\frac{\frac{1}{1125}}{9^{7}\times 125^{-4}}$$

Calculate 9 to the power of 7 and get 4782969.

$$\frac{\frac{1}{1125}}{4782969\times 125^{-4}}$$

Calculate 125 to the power of -4 and get \frac{1}{244140625}.

$$\frac{\frac{1}{1125}}{4782969\times \frac{1}{244140625}}$$

Multiply 4782969 and \frac{1}{244140625} to get \frac{4782969}{244140625}.

$$\frac{\frac{1}{1125}}{\frac{4782969}{244140625}}$$

Divide \frac{1}{1125} by \frac{4782969}{244140625} by multiplying \frac{1}{1125} by the reciprocal of \frac{4782969}{244140625}.

$$\frac{1}{1125}\times \frac{244140625}{4782969}$$

Multiply \frac{1}{1125} and \frac{244140625}{4782969} to get \frac{1953125}{43046721}.

$$\frac{1953125}{43046721}$$

Factor

$$\frac{5 ^ {9}}{3 ^ {16}} = 0.045372213135583546$$