Eksponen dan pangkat bulat negatif

Eksponen dan pangkat bulat negatif

$1. : a) : {3}^{2} times {2}^{3} = 9 times 8 = 72$
$1. : b) : {2}^{3} times {2}^{2} = {2}^{3 + 2} = {2}^{5}$
$2. : frac{ {4}^{2}. {4}^{5} . {4}^{ - 3} }{ {4}^{3} } = frac{ {4}^{2 + 5 + ( - 3)} {}^{} }{ {4}^{3} } \ = frac{ {4}^{4} }{ {4}^{3} } \ = {4}^{4 - 3} = {4}^{}$
$3. : frac{(5. {10}^{ - 6})(1000.000) }{ {100}^{ - 2} } \ = frac{(5. {10}^{ - 6})(10 {}^{6} ) }{( {10}^{2} ) {}^{ - 2} } \ = frac{5. {10}^{ - 6 + 6} }{ {10}^{ - 4} } \ = frac{5. {10}^{0} }{ {10}^{ - 4} } \ = 5. {10}^{0 - ( - 4)} \ = 5. {10}^{4}$
$4. : frac{( {a}^{3} {b}^{ - 2} {c}^{5} )}{ {a}^{ - 2} {c}^{3} } \ = {a}^{3 - ( - 2)} {b}^{ - 2 } {c}^{5 - 3} \ = {a}^{5} {b}^{ - 2} {c}^{2} \ = frac{ {a}^{5} {c}^{2} }{ {b}^{2} }$
$5. : ( {4a)}^{2} .(2a) = {8a}^{2 + 1} = {8a}^{3}$
$6. : {4}^{2} .(32) {}^{ frac{3}{5} }.(128) {}^{ frac{ - 3}{7} } \ = ( {2}^{2} ) {}^{2} .( {2}^{5} ) {}^{ frac{3}{5} } .( {2}^{7} ) {}^{ frac{ - 3}{7} } \ = {2}^{4} . {2}^{3} . {2}^{ - 3} \ = {2}^{4 + 3 + ( - 2)} \ = {2}^{5}$
$7. : frac{x}{ {y}^{ - 3} } + frac{y}{ {x}^{ - 2} } = frac{ {x}^{2} {y}^{ - 4} + {x}^{3}y }{xy} \ = {xy}^{ - 5} + {x}^{2} {y}^{1 - 1} \ = {xy} {}^{ - 5} + {x}^{2} .1 \ = {xy}^{ - 5} + {x}^{2}$
Nomor 8,9,10 caranya terlampir diatas de

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