Solve 3^3*25*2^-4/16^-1*9*5^-3

$$\frac { 3 ^ { 3 } \times 25 \times 2 ^ { - 4 } } { 16 ^ { - 1 } \times 9 \times 5 ^ { - 3 } }$$

Evaluate

$$9375$$

Solution Steps

Calculate 3 to the power of 3 and get 27.

$$\frac{27\times 25\times 2^{-4}}{16^{-1}\times 9\times 5^{-3}}$$

Multiply 27 and 25 to get 675.

$$\frac{675\times 2^{-4}}{16^{-1}\times 9\times 5^{-3}}$$

Calculate 2 to the power of -4 and get \frac{1}{16}.

$$\frac{675\times \frac{1}{16}}{16^{-1}\times 9\times 5^{-3}}$$

Multiply 675 and \frac{1}{16} to get \frac{675}{16}.

$$\frac{\frac{675}{16}}{16^{-1}\times 9\times 5^{-3}}$$

Calculate 16 to the power of -1 and get \frac{1}{16}.

$$\frac{\frac{675}{16}}{\frac{1}{16}\times 9\times 5^{-3}}$$

Multiply \frac{1}{16} and 9 to get \frac{9}{16}.

$$\frac{\frac{675}{16}}{\frac{9}{16}\times 5^{-3}}$$

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

$$\frac{\frac{675}{16}}{\frac{9}{16}\times \frac{1}{125}}$$

Multiply \frac{9}{16} and \frac{1}{125} to get \frac{9}{2000}.

$$\frac{\frac{675}{16}}{\frac{9}{2000}}$$

Divide \frac{675}{16} by \frac{9}{2000} by multiplying \frac{675}{16} by the reciprocal of \frac{9}{2000}.

$$\frac{675}{16}\times \frac{2000}{9}$$

Multiply \frac{675}{16} and \frac{2000}{9} to get 9375.

$$9375$$

Factor

$$3\times 5^{5}$$