Question

задание 9.18 (1 и 3)
очень !

Answer 1

1)

$\frac{ {( {b}^{5} )}^{3} \times {( {b}^{7} )}^{7} }{ {b}^{19} \times {b}^{38} } = \frac{ {b}^{5 \times 3} \times {b}^{7 \times 7} }{ {b}^{19 + 38} } = \frac{ {b}^{15} \times {b}^{49} }{ {b}^{57} } = \frac{ { b}^{15 + 49} }{ {b}^{57} } = \frac{ {b}^{64} }{ {b}^{57} } = {b}^{64 - 57} = {b}^{7}$

3)

$\frac{ {( {a}^{9} )}^{3} \times {( {a}^{3} )}^{4} \times {a}^{23} }{ {a}^{40} \times {a}^{18} } = \frac{ {a}^{9 \times 3} \times {a}^{3 \times 4} \times {a}^{23} }{ {a}^{40 + 18} } = \frac{ {a}^{27} \times {a}^{12} \times {a}^{23} }{ {a}^{58} } = \frac{ {a}^{27 + 12 + 23} }{ {a}^{58} } = \frac{ {a}^{62} }{ {a}^{58} } = {a}^{62 - 58} = {a}^{4}$