Question

Пожалуйста допоможіть ласт бали номер 118,120.

Answer 1

Свойства степеней:

$({x}^{m} ) {}^{n} = x {}^{mn} \\ {x}^{m} \times x {}^{n} = {x}^{m + n} \\ {x}^{m} \div {x}^{n} = {x}^{m - n} \\ {x}^{n} y {}^{n} = (xy) {}^{n}$

118

1)

$( {b}^{3} ) {}^{4} \times b {}^{7} = b {}^{3 \times 4 + 7} = b {}^{12 + 7} = b {}^{21}$

2)

$(( {x}^{4} ) {}^{5} ) {}^{6} = {x}^{4 \times 5 \times 6} = {x}^{120}$

3)

$( {c}^{3} ) {}^{8} \div {c}^{10} = {c}^{3 \times 8 - 10} = {c}^{24 - 10} = c {}^{14}$

4)

$( {m}^{3} ) {}^{5} \times ( {m}^{2} ) {}^{7} = {m}^{3 \times 5 + 2 \times 7} = {m}^{15 + 14} = {m}^{29}$

120

1)

${a}^{5} {b}^{5} = (ab) {}^{5}$

2)

${a }^{3} {b}^{3} = (ab) {}^{3}$

3)

${a}^{18} {b}^{18} = (ab) {}^{18}$

4)

${a}^{2016} {b}^{2016} = (ab) {}^{2016}$