nyatakan Perpangkatan berikut bentuk paling sederhana

Berikut ini adalah pertanyaan dari petisbapak pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Pertama

Nyatakan Perpangkatan berikut bentuk paling sederhana

Jawaban dan Penjelasan

Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.

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

SOAL a :

$\boxed{ \: \bf {2}^{12} \: } \\$

SOAL b :

$\boxed{ \: \bf {3}^{15} \: } \\$

SOAL c :

$\boxed{ \: \bf {3}^{6} \: } \\$

SOAL d :

$\boxed{ \: \bf {( - 5)}^{9} \: }$

------------------

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

$\boxed{ \: \begin{aligned} \tt {a}^{m} \times {a}^{n} &= \tt {a}^{m + n} \\ \tt ({a}^{m}) {}^{n} &= \tt {a}^{mn} \\ \tt x ({a}^{n}) + y( {a}^{n} )&= \tt (x + y)( {a}^{n} ) \end{aligned} \: } \\$

$____________________________________$

$\\$

SOAL a :

$\tt {4}^{3} \times {2}^{6}$

$\tt = {2}^{2 \times 3} \times {2}^{6}$

$\tt = {2}^{6} \times {2}^{6}$

$\tt = \bf {2}^{12}$

$\\$

SOAL b :

$\tt( {3}^{2} ) {}^{5} \times {3}^{5}$

$\tt = {3}^{2 \times 5} \times {3}^{5}$

$\tt = {3}^{10} \times {3}^{5}$

$\tt = {3}^{10 + 5}$

$\tt = \bf {3}^{15}$

$\\$

SOAL c :

$\tt4 \times {3}^{4} + 5 \times {3}^{4}$

$\tt = (4 + 5) \times {3}^{4}$

$\tt = 9 \times {3}^{4}$

$\tt = {3}^{2} \times {3}^{4}$

$\tt = {3}^{2 + 4}$

$\tt = \bf {3}^{6}$

$\\$

SOAL d :

$\tt( - 125) \times {( - 5)}^{6}$

$\tt = {( - 5)}^{3} \times {( - 5)}^{6}$

$\tt = {( - 5)}^{3 + 6}$

$\tt = \bf {( - 5)}^{9}$

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