Question

Evaluate

$\frac{6^{12}\times {\left(35\right)}^{28}\times {\left(15\right)}^{16}}{{\left(14\right)}^{12}\times {\left(21\right)}^{11}}$

• A. $3\times 5^{28}\times 7^{10}$
  
• B. $3^{28}\times 5^{44}\times 7^5$
• C. $3^{17}\times 5^{28}\times 7^{40}$
• D. $3^{17}\times 5^{28}\times 7^5$

Answer 1

The correct option is A $3\times 5^{28}\times 7^{10}$

Let $Z=\frac{6^{12}\times {35}^{28}\times 7^5}{{14}^{12}\times {21}^{11}}$

$=\frac{2^{12}\times 7^{28+5}\times 3^{12}\times 5^{28}}{2^{12}\times 7^{12}\times 3^{11}\times 7^{11}}$

$=7^{28+5-12-11}\times 3^{12-11}\times 5^{28}$

$Z=3\times 5^{28}\times 7^{10}$