Pertanyaan

Tentukan hasil pemangkatan bilangan berpangkat berikut ! a. ( 4 4 3 ) 2 b. ( 4 4 1 ) 10 c. ( − 8 3 2 ) 2

Tentukan hasil pemangkatan bilangan berpangkat berikut !

a. $(4^{\frac{3}{4}})^{2}$
b. $(4^{\frac{1}{4}})^{10}$
c. $(- 8^{\frac{2}{3}})^{2}$

Ikuti Tryout SNBT & Menangkan E-Wallet 100rb

Habis dalam

Klaim

D. Nuryani

Master Teacher

Mahasiswa/Alumni Universitas Padjadjaran

Jawaban terverifikasi

Jawaban

hasil dari , , dan .

hasil dari open parentheses 4 to the power of 3 over 4 end exponent close parentheses squared equals 8

open parentheses 4 to the power of 1 fourth end exponent close parentheses to the power of 10 equals 32

, dan

open parentheses negative 8 to the power of 2 over 3 end exponent close parentheses squared equals 16

Pembahasan

Ingatlah sifat-sifat bilangan berpangkat berikut. Berdasarkan sifat-sifat di atas, maka: a) b) c) Dengan demikian, hasil dari , , dan .

Ingatlah sifat-sifat bilangan berpangkat berikut.

left parenthesis straight i right parenthesis space space open parentheses a to the power of m close parentheses to the power of n equals a to the power of m cross times n end exponent left parenthesis ii right parenthesis space open parentheses negative a close parentheses to the power of m equals a to the power of m comma space untuk space m space bil. genap

Berdasarkan sifat-sifat di atas, maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 4 to the power of 3 over 4 end exponent close parentheses squared end cell equals cell 4 to the power of 3 over 4 cross times 2 end exponent end cell row blank equals cell 4 to the power of 6 over 4 end exponent end cell row blank equals cell 4 to the power of 3 over 2 end exponent end cell row blank equals cell open parentheses 2 squared close parentheses to the power of 3 over 2 end exponent end cell row blank equals cell 2 to the power of up diagonal strike 2 cross times fraction numerator 3 over denominator up diagonal strike 2 end fraction end exponent end cell row blank equals cell 2 cubed end cell row blank equals 8 end table$

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 4 to the power of 1 fourth end exponent close parentheses to the power of 10 end cell equals cell 4 to the power of 1 fourth cross times 10 end exponent end cell row blank equals cell 4 to the power of 10 over 4 end exponent end cell row blank equals cell 4 to the power of 5 over 2 end exponent end cell row blank equals cell open parentheses 2 squared close parentheses to the power of 5 over 2 end exponent end cell row blank equals cell 2 to the power of up diagonal strike 2 cross times fraction numerator 5 over denominator up diagonal strike 2 end fraction end exponent end cell row blank equals cell 2 to the power of 5 end cell row blank equals 32 end table$

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses negative 8 to the power of 2 over 3 end exponent close parentheses squared end cell equals cell open parentheses 8 to the power of 2 over 3 end exponent close parentheses squared end cell row blank equals cell 8 to the power of 2 over 3 cross times 2 end exponent end cell row blank equals cell 8 to the power of 4 over 3 end exponent end cell row blank equals cell open parentheses 2 cubed close parentheses to the power of 4 over 3 end exponent end cell row blank equals cell 2 to the power of up diagonal strike 3 cross times fraction numerator 4 over denominator up diagonal strike 3 end fraction end exponent end cell row blank equals cell 2 to the power of 4 end cell row blank equals 16 end table$

Dengan demikian, hasil dari open parentheses 4 to the power of 3 over 4 end exponent close parentheses squared equals 8 , , dan open parentheses negative 8 to the power of 2 over 3 end exponent close parentheses squared equals 16 .