Tolong kak bagian (h)

Berikut ini adalah pertanyaan dari cindyapda pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Atas

Jawaban dan Penjelasan

Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.

$\mathbb \color{aqua} \underbrace{JAWABAN}$

$\begin{aligned}&&&& \sf f.&&\begin{aligned} \boxed{ \: \bf 1 \: } \end{aligned} \end{aligned} \\$

$\begin{aligned}&&&& \sf g.&&\begin{aligned} \boxed{ \: \bf {3}^{7} \: } \end{aligned} \end{aligned} \\$

$\begin{aligned}&&&& \sf h.&&\begin{aligned} \boxed{ \: \bf {3}^{10} \: } \end{aligned} \end{aligned}$

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$\mathbb \color{orange} \underbrace{PENYELESAIAN}$

SOAL f :

$\begin{aligned} &\begin{aligned} \small \bf gunakan \: sifat - sifat \: eksponen \: berikut : \end{aligned} \\& \boxed{ \: \begin{aligned} \tt {a}^{m} \times {a}^{n} &= \tt {a}^{m + n} \\ \tt {a}^{m} \div {a}^{n} &= \tt {a}^{m - n} \\ \tt {a}^{0} &= \tt 1 \end{aligned} \: } \end{aligned} \\ \\$

$\begin{aligned}& \implies& \boxed{ \: \begin{aligned} \small\tt \frac{ {5}^{5} }{ {5}^{2} \times {5}^{3} } &\small\tt = \frac{ {5}^{5} }{ {5}^{2 + 3} } \\ &\small\tt = \frac{ {5}^{5} }{ {5}^{5} } \\ &\tt = {5}^{5 - 5} \\ &\tt = \tt {5}^{0} \\ &\tt = \bf \red1 \end{aligned} \: }\end{aligned} \\ \\$

$___________________________________________$

$\\$

SOAL g :

$\begin{aligned} & \begin{aligned} \small \bf gunakan \: sifat - sifat \: eksponen \: berikut : \end{aligned} \\ &\boxed{ \: \begin{aligned} \tt {(a \times b)}^{n} &= \tt {a}^{n} \times {b}^{n} \\ \tt {(a \div b)}^{n} &= \tt {a}^{n} \div {b}^{n} \end{aligned} \: } \end{aligned} \\ \\$

$\begin{aligned}& \implies& \boxed{ \: \begin{aligned} \small\tt \frac{ {2}^{7} \times {6}^{7} }{ {4}^{7} } &\small\tt = \frac{{(2 \times 6) }^{7} }{ {4}^{7} } \\ &\small\tt = \frac{ {12}^{7} }{ {4}^{7} } \\ &\small\tt = { \left( \frac{12}{4} \right) }^{7} \\ &\tt = \bf \red{ {3}^{7} } \end{aligned} \: }\end{aligned} \\ \\$

$___________________________________________$

$\\$

SOAL h :

$\begin{aligned} & \begin{aligned} \small \bf gunakan \: sifat - sifat \: eksponen \: berikut : \end{aligned} \\ &\boxed{ \: \begin{aligned} \tt {(a \times b)}^{n} &= \tt {a}^{n} \times {b}^{n} \\ \tt {a}^{m} \times {a}^{n} &= \tt {a}^{m + n} \end{aligned} \: } \end{aligned} \\ \\$

$\begin{aligned}& \implies& \boxed{ \: \begin{aligned} \small\tt \frac{ {6}^{7} \times {3}^{3} }{ {2}^{7} } &\small\tt = \frac{ {\left( {2 \times 3} \right) }^{7} \times {3}^{3} }{ {2}^{7} } \\ &\small\tt = \frac{ \cancel{ {2}^{7} } \times {3}^{7} \times {3}^{3} }{ \cancel{ {2}^{7} }} \\ &\tt = {3}^{7} \times {3}^{3} \\ &\tt = {3}^{7 + 3} \\ &\tt = \bf \red{ {3}^{10} } \end{aligned} \: }\end{aligned}$

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