Jawab donkk pliss aku ngak ngerti

Jawab donkk pliss aku ngak ngerti

maaf cuman bisa jawab segini aja

Gambar Jawaban

Jawaban:

1. E

2. E

3. E

4. D

5. C

Penjelasan dengan langkah-langkah:

${( frac{p {q}^{2} {r}^{3} }{ {p}^{2} qr} )}^{3} \ = frac{ {p}^{(1 times 3)} {q}^{(2 times 3)} {r}^{(3 times 3)} }{ {p}^{(2 times 3)} {q}^{(1 times 3)} {r}^{(1 times 3)} } \ = frac{ {p}^{3} {q}^{6} {r}^{9} }{ {p}^{6} {q}^{3} {r}^{3} } \ = {p}^{(3 - 6)} {q}^{(6 - 3)} {r}^{(9 - 3)} \ = {p}^{ - 3} {q}^{3} {r}^{6} \ = frac{ {q}^{3} {r}^{6} }{ {p}^{3} }$

$log_{2}(16) = log_{2}( {2}^{4} ) = 4 log_{2}(2) = 4(1) = 4$

$log_{3}(81) = log_{3}( {3}^{4} ) = 4log_{3}(3) = 4(1) = 4$

$log_{4}(64) = log_{4}( {4}^{3} ) = 3 log_{4}(4) = 3(1) = 3$

jadi jika dioperasikan 4 + 4 – 3 = 5

$2 sqrt{48} - 3 sqrt{12} + sqrt{3} \ = 2 sqrt{16 times 3} - 3 sqrt{4 times 3} + sqrt{3} \ = (2 times sqrt{16} times sqrt{3} ) - (3 times sqrt{4} times sqrt{3} ) + ( sqrt{3} ) \ = (2 times 4 times sqrt{3} ) - (3 times 2 times sqrt{3} ) + sqrt{3} \ = 8 sqrt{3 } - 6 sqrt{3} + sqrt{3} \ = (8 - 6 + 1) sqrt{3} = 3 sqrt{3}$

$frac{3}{2 + sqrt{5} } \ = frac{3}{2 + sqrt{5} } times frac{2 - sqrt{5} }{2 - sqrt{5} } \ = frac{3(2 - sqrt{5}) }{(2 + sqrt{5})(2 - sqrt{5} ) } \ = frac{6 - 3 sqrt{5} }{4 - 5} \ = frac{6 - 3sqrt{5} }{ - 1} \ = - 6 + 3sqrt{5}$

${( frac{x}{y}) }^{2} \ = frac{ {x}^{2} }{ {y}^{2} } \ = frac{ ({ {p}^{ - 2} {q}^{ - 3} })^{2} }{ ( {p}^{ - 3} {q}^{ - 1} )^{2} } \ = frac{ {p}^{( - 2 times 2)} {q}^{( - 3 times 2)} }{ {p}^{( - 3 times 2)} {q}^{( - 1 times 2)} } \ = frac{ {p}^{ - 4} {q}^{ - 6} }{ {p}^{ - 6} {q}^{ - 2} } \ = {p}^{( - 4 - ( - 6))} {q}^{( - 6 - ( - 2))} \ {p}^{2} {q}^{ - 4} \ = frac{ {p}^{2} }{ {q}^{4} }$