Question

7^14 × (7^2)^3
___________
(7^3)^8 × 7^2

Answer 1

$\frac{ {7}^{14} \times {( {7}^{2} )}^{3} }{ {( {7}^{3} )}^{8} \times {7}^{2} } = \frac{ {7}^{14} \times {7}^{6} }{ {7}^{24} \times {7}^{2} } = \frac{ {7}^{20} }{ {7}^{26} } = \frac{1}{ {7}^{6} }$

правило

${a}^{m} \times {a}^{n} = {a}^{m + n}$

${( {a}^{m} )}^{n} = {a}^{m \times n}$

$\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n}$