Skip to main content
Evaluate
Tick mark Image
Factor
Tick mark Image

Similar Problems from Web Search

Share

\left(\frac{2\times 7}{3\times 5}\right)^{3}\times \left(\frac{15\times 6^{2}}{2\times 7^{2}}\right)^{2}
Cancel out 2 in both numerator and denominator.
\left(\frac{14}{3\times 5}\right)^{3}\times \left(\frac{15\times 6^{2}}{2\times 7^{2}}\right)^{2}
Multiply 2 and 7 to get 14.
\left(\frac{14}{15}\right)^{3}\times \left(\frac{15\times 6^{2}}{2\times 7^{2}}\right)^{2}
Multiply 3 and 5 to get 15.
\frac{2744}{3375}\times \left(\frac{15\times 6^{2}}{2\times 7^{2}}\right)^{2}
Calculate \frac{14}{15} to the power of 3 and get \frac{2744}{3375}.
\frac{2744}{3375}\times \left(\frac{15\times 36}{2\times 7^{2}}\right)^{2}
Calculate 6 to the power of 2 and get 36.
\frac{2744}{3375}\times \left(\frac{540}{2\times 7^{2}}\right)^{2}
Multiply 15 and 36 to get 540.
\frac{2744}{3375}\times \left(\frac{540}{2\times 49}\right)^{2}
Calculate 7 to the power of 2 and get 49.
\frac{2744}{3375}\times \left(\frac{540}{98}\right)^{2}
Multiply 2 and 49 to get 98.
\frac{2744}{3375}\times \left(\frac{270}{49}\right)^{2}
Reduce the fraction \frac{540}{98} to lowest terms by extracting and canceling out 2.
\frac{2744}{3375}\times \frac{72900}{2401}
Calculate \frac{270}{49} to the power of 2 and get \frac{72900}{2401}.
\frac{864}{35}
Multiply \frac{2744}{3375} and \frac{72900}{2401} to get \frac{864}{35}.