Math Eksponensial - Universityku

1.) $( {9}^{ - 2}) ^{3} times {9}^{ 5}$

2.) 8⁴ × 6² ÷ 2² ( Sederhana kan )

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Math Eksponensial

Jawaban:

$( {9}^{ - 2})^{3} times {9}^{5}$

${9}^{(( - 2) times 3)} times {9}^{5}$

${9}^{ - 6} times {9}^{5}$

${9}^{( - 6 + 5)}$

${9}^{ - 1}$

$frac{1}{ {9}^{1} }$

$huge{ blue{ = frac{1}{9} }}$

$2.) {8}^{4} times {6}^{2} div {2}^{2}$

$( {2}^{3} )^{4} times {6}^{2} div {2}^{2}$

${2}^{(3 times 4)} times {6}^{2} div {2}^{2}$

${2}^{12} div {2}^{2} times {6}^{2}$

${2}^{(12 - 2)} times {6}^{2}$

${2}^{10} times {6}^{2}$

${2}^{10} =1.024$

${6}^{2} = 36$

${2}^{10} times {6}^{2} = 1.024 times 36$

$: : : : : : : : : : : : : : : : : bold{ red{ = 36.864}}$

1.) $( {9}^{ - 2}) ^{3} times {9}^{ 5}$

= 9-²×³ x 9^5

= 9^-6 x 9^5

= 9^- 6 + 5

= 9-¹

2.) 8⁴ x 6² ÷ 2²

= ( 8.8.8.8 ) x ( 6 ÷ 2 )²

= ( 64.64 ) x 3²

= 4.096 x 9

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