Question
Evaluate: $\frac{6^{4}\times12^{3}\times36}{2^{5}\times36}$
✓
Answer
We have, $\frac{6^{4}\times12^{3}\times36}{2^{5}\times36}$ $=\frac{(2\times3)^{4}\times(3^{2})^{}2\times(5^{2})^{3}}{3^{2}\times(2^{2})^{2}\times3^{6}\times5^{6}}$ $\Big[\because(\text{a}\times\text{b})^{\text{m}}=\text{a}^{\text{m}}\times\text{b}^{\text{m}}\Big]$ $=2^{4-4}\times3^{4+4-2-6}\times5^{6-6}$ $\Big[\because\frac{\text{a}^{\text{m}}}{\text{a}^{\text{n}}}=\text{a}^{\text{m-n}}\Big]$ $$ $=2^{0}\times3^{0}\times5^{0}$ $=1\times1\times1=1$
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