Solve 3-76^2/5^-2*3^-2

$$\frac { 3 - 76 ^ { 2 } } { 5 ^ { - 2 } \cdot 3 ^ { - 2 } }$$

Evaluate

$$-1298925$$

Solution Steps

Calculate 76 to the power of 2 and get 5776.

$$\frac{3-5776}{5^{-2}\times 3^{-2}}$$

Subtract 5776 from 3 to get -5773.

$$\frac{-5773}{5^{-2}\times 3^{-2}}$$

Calculate 5 to the power of -2 and get \frac{1}{25}.

$$\frac{-5773}{\frac{1}{25}\times 3^{-2}}$$

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

$$\frac{-5773}{\frac{1}{25}\times \frac{1}{9}}$$

Multiply \frac{1}{25} and \frac{1}{9} to get \frac{1}{225}.

$$\frac{-5773}{\frac{1}{225}}$$

Divide -5773 by \frac{1}{225} by multiplying -5773 by the reciprocal of \frac{1}{225}.

$$-5773\times 225$$

Multiply -5773 and 225 to get -1298925.

$$-1298925$$

Factor

$$-1298925$$