Solve 25^3*24^-1/4^4*15^4

$$\frac { 25 ^ { 3 } \times 24 ^ { - 1 } } { 4 ^ { 4 } \times 15 ^ { 4 } }$$

Evaluate

$$\frac{25}{497664}\approx 0.000050235$$

Solution Steps

Calculate 25 to the power of 3 and get 15625.

$$\frac{15625\times 24^{-1}}{4^{4}\times 15^{4}}$$

Calculate 24 to the power of -1 and get \frac{1}{24}.

$$\frac{15625\times \frac{1}{24}}{4^{4}\times 15^{4}}$$

Multiply 15625 and \frac{1}{24} to get \frac{15625}{24}.

$$\frac{\frac{15625}{24}}{4^{4}\times 15^{4}}$$

Calculate 4 to the power of 4 and get 256.

$$\frac{\frac{15625}{24}}{256\times 15^{4}}$$

Calculate 15 to the power of 4 and get 50625.

$$\frac{\frac{15625}{24}}{256\times 50625}$$

Multiply 256 and 50625 to get 12960000.

$$\frac{\frac{15625}{24}}{12960000}$$

Express \frac{\frac{15625}{24}}{12960000} as a single fraction.

$$\frac{15625}{24\times 12960000}$$

Multiply 24 and 12960000 to get 311040000.

$$\frac{15625}{311040000}$$

Reduce the fraction \frac{15625}{311040000} to lowest terms by extracting and canceling out 625.

$$\frac{25}{497664}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {11} \cdot 3 ^ {5}} = 5.023469650205761 \times 10^{-5}$$