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Q.```````````````````````````````````````````````````````````````````3¹⁰ ÷ 9⁵ × 27² = ...````````````````````````````````````````````````````````````````````​

Berikut ini adalah pertanyaan dari khairyazzam1601 pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Atas

Q.```````````````````````````````````````````````````````````````````

3¹⁰ ÷ 9⁵ × 27² = ...


````````````````````````````````````````````````````````````````````​
Q.```````````````````````````````````````````````````````````````````3¹⁰ ÷ 9⁵ × 27² = ...````````````````````````````````````````````````````````````````````​

Jawaban dan Penjelasan

Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.

\tt {3}^{10} \div {9}^{5} \times {27}^{2} = \boxed{ \bf{ \pink{ {3}^{6} }}}atau \boxed{ \bf{ \green{ 729 }}}

\\

Penyelesaian

Cara 1

\tt {3}^{10} \div {9}^{5} \times {27}^{2}

\tt = {3}^{10} \div ({3}^{2})^{5} \times ({3}^{3})^{2}

\tt = {3}^{10} \div ({3}^{2})^{5} \times ({3}^{3})^{2}

\tt = {3}^{10} \div {3}^{(2 \: \times \: 5)} \times {3}^{(3 \: \times \: 2)}

\tt = {3}^{10} \div {3}^{10} \times {3}^{6}

\tt = {3}^{(10 \: - \: 10)} \times {3}^{6}

\tt = {3}^{0} \times {3}^{6}

\tt = {3}^{(0 \: + \: 6)}

\tt = \boxed{ \bf{ \blue{ {3}^{6} }}}

\\

Cara 2

\tt {3}^{10} \div {9}^{5} \times {27}^{2}

\tt = (3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3 \times 3) = 59.049

\tt = (9 \times 9 \times 9 \times 9 \times 9) = 59.049

\tt = (27 \times 27) = 729

\tt = 59.049 \div 59.049 \times 729

\tt = 1 \times 729

\tt = \boxed{ \bf{ \red{ 729 }}}

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Last Update: Fri, 08 Apr 22
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