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- - - → First Quiz ✨ [tex] \huge \displaystyle

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

- - - → First Quiz ✨ \huge \displaystyle \bf \frac{ {2}^{ \sqrt{16} } \times \sqrt{ {2}^{4} } \times {2}^{5} \div {4}^{3} }{ {2}^{5} \times {8}^{2} }
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Jawaban dan Penjelasan

Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.

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PENYELESAIAN

\sf \to\frac{ {2}^{ \sqrt{16} } \times \sqrt{ {2}^{4} } \times {2}^{5} \div {4}^{3} }{ {2}^{5} \times {8}^{2} }

\sf = \frac{ {2}^{ \sqrt{ {4}^{2} } } \times \sqrt{(2 \times 2 \times 2 \times 2) } \times (2 \times 2 \times 2 \times 2 \times 2) \div (4 \times 4 \times 4)}{(2 \times 2 \times 2 \times 2 \times 2) \times (8 \times 8)}

\sf = \frac{ {2}^{4} \times \sqrt{16} \times \cancel{32} \: 1 \div \cancel{64} \:1 } { \cancel{32} \: 1 \times \cancel{64} \: 1}

\sf = (2 \times 2 \times 2 \times 2) \times \sqrt{ {4}^{2} }

\sf = 16 \times 4

\sf = \bf64

Atau:

\sf \to\frac{ {2}^{ \sqrt{16} } \times \sqrt{ {2}^{4} } \times {2}^{5} \div {4}^{3} }{ {2}^{5} \times {8}^{2} }

\sf = \frac{ {2}^{ \sqrt{ {4}^{2} } } \times \sqrt{(2 \times 2 \times 2 \times 2) } \times (2 \times 2 \times 2 \times 2 \times 2) \div (4 \times 4 \times 4)}{(2 \times 2 \times 2 \times 2 \times 2) \times (8 \times 8)}

\sf = \frac{ {2}^{4} \times \sqrt{16} \times 32 \div 64 }{ 32 \times 64}

\sf = \frac{ (2 \times 2 \times 2 \times 2) \times \sqrt{ {4}^{2} } × 32 ÷ 64}{2.048}

\sf = \frac{16×4×32÷64}{2.048}

\sf = \frac{32}{2.048}

\sf = \frac{32÷32}{2.048÷32}

\bf = \frac{1}{64}

________________________PENYELESAIAN[tex] \sf \to\frac{ {2}^{ \sqrt{16} } \times \sqrt{ {2}^{4} } \times {2}^{5} \div {4}^{3} }{ {2}^{5} \times {8}^{2} } [/tex] [tex] \sf = \frac{ {2}^{ \sqrt{ {4}^{2} } } \times \sqrt{(2 \times 2 \times 2 \times 2) } \times (2 \times 2 \times 2 \times 2 \times 2) \div (4 \times 4 \times 4)}{(2 \times 2 \times 2 \times 2 \times 2) \times (8 \times 8)} [/tex][tex] \sf = \frac{ {2}^{4} \times \sqrt{16} \times \cancel{32} \: 1 \div \cancel{64} \:1 } { \cancel{32} \: 1 \times \cancel{64} \: 1} [/tex][tex] \sf = (2 \times 2 \times 2 \times 2) \times \sqrt{ {4}^{2} } [/tex][tex] \sf = 16 \times 4[/tex][tex] \sf = \bf64[/tex]Atau:[tex] \sf \to\frac{ {2}^{ \sqrt{16} } \times \sqrt{ {2}^{4} } \times {2}^{5} \div {4}^{3} }{ {2}^{5} \times {8}^{2} } [/tex] [tex] \sf = \frac{ {2}^{ \sqrt{ {4}^{2} } } \times \sqrt{(2 \times 2 \times 2 \times 2) } \times (2 \times 2 \times 2 \times 2 \times 2) \div (4 \times 4 \times 4)}{(2 \times 2 \times 2 \times 2 \times 2) \times (8 \times 8)} [/tex][tex] \sf = \frac{ {2}^{4} \times \sqrt{16} \times 32 \div 64 }{ 32 \times 64} [/tex][tex] \sf = \frac{ (2 \times 2 \times 2 \times 2) \times \sqrt{ {4}^{2} } × 32 ÷ 64}{2.048}[/tex][tex] \sf = \frac{16×4×32÷64}{2.048} [/tex][tex] \sf = \frac{32}{2.048} [/tex][tex] \sf = \frac{32÷32}{2.048÷32} [/tex][tex] \bf = \frac{1}{64} [/tex]

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Last Update: Mon, 23 May 22
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