Question

(-14)⁴ x 11³x 6 /7³ X 12² x121

Answer 1

Hello

(-14)⁴ x 11³x 6 /7³ X 12² x121

$=\frac{2^{4} \times 7^{4} \times 11^{3} \times 6}{7^{3} \times 2^{2} \times 6^{2} \times 11^{2}}$

$=2^{4-2} \times 7^{4-3} \times 11^{3-2} \times 6^{1-2}$

$=2^{2} \times 7 \times 11 \times 6^{-1}$

$=\frac{2^{2} \times 7 \times 11}{6}$

Answer 2

$= \frac{( {- 14}^{4}) \times 11 {}^{3} \times 6}{ {7}^{3} \times 12 {}^{2} \times 11 {}^{2} } \\ = \frac{(14 \times 14 \times 14 \times 14) \times 11 \times 11 \times 11 \times 6}{7 \times 7 \times 7 \times 12 \times 12 \times 11 \times 11} \\ = \frac{2 \times2 \times 2 \times 14 \times 11 \times 6 }{12 \times 12} \\ = \frac{2 \times 2 \times 2 \times 2 \times 7 \times 11 \times 2 \times 3}{2 \times 2 \times 3 \times 2 \times 2 \times 3} \\ = \frac{7 \times 11 \times 2}{3} = \frac{154}{3}$