Solve frac{3a^{2}bc}{7d^{3}e^{4}f^{5}}*14f^5d^3e^4/6ba^2c

$$\frac { 3 a ^ { 2 } b c } { 7 d ^ { 3 } e ^ { 4 } f ^ { 5 } } \times \frac { 14 f ^ { 5 } d ^ { 3 } e ^ { 4 } } { 6 b a ^ { 2 } c }$$

Evaluate

$$1$$

Solution Steps

Cancel out 2 in both numerator and denominator.

$$\frac{3a^{2}bc}{7d^{3}e^{4}f^{5}}\times \frac{7e^{4}d^{3}f^{5}}{3bca^{2}}$$

Multiply \frac{3a^{2}bc}{7d^{3}e^{4}f^{5}} times \frac{7e^{4}d^{3}f^{5}}{3bca^{2}} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3a^{2}bc\times 7e^{4}d^{3}f^{5}}{7d^{3}e^{4}f^{5}\times 3bca^{2}}$$

Cancel out 3\times 7e^{4}bca^{2}d^{3}f^{5} in both numerator and denominator.

$$1$$

Factor

$$1$$