Materi : Bentuk Akar dan Pangkat

8² × 4-⁴ + 3-² - 6-¹

= 2⁶ × 2-⁸ + ⅑ - ⅙

= 2-² + ⅑ - ⅙

= ¼ + ⅑ - ⅙

= ( 9 + 4 - 6 )/36

= ( 13 - 6 )/36

= 7/36 { a. }

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[ ( abc⁰ )² × d ]⁰

= [ a²b²d ]⁰

= 1 { c. }

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³√( 2xy² × 4x²y⁷ )

= ³√( 2³x³y⁹ )

= 2xy³ { b. }

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6√18 + 3√50

= 6√(9×2) + 3√(25×2)

= 18√2 + 15√2

= 33√2 { c. }

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( 3 + √5 )( 1 + √5 )

= 3 + 3√5 + √5 + (√5)²

= 3 + 4√5 + 5

= 8 + 4√5 { b. }

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4/( 1 + √3 )

= 4( 1 - √3 )/( 1 + √3 )( 1 - √3 )

= 4( 1 - √3 )/( 1² - [√3]² )

= 4( 1 - √3 )/( 1 - 3 )

= 4( 1 - √3 )/(-2)

= - 2( 1 - √3 )

= - 2 + 2√3 { a. }

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r² + 8r - 65 = 0

( r + 13 )( r - 5 ) = 0

Himpunan Penyelesaian

r = -13 atau r = 5 { c. }

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3y² - 5y - 8 = 0

( 3y - 8 )( y + 1 ) = 0

Himpunan Penyelesaian

y = 2⅔ atau x = -1 { d. }

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x² + 2x - 9 = 0

x = ( -2 ± √[ 4 + 36 ] )/2

x = ( -2 ± √40 )/2

x = -1 ± √10 { b. }

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