Roboguru

Pertanyaan

Tentukan hasil pemangkatan bilangan berpangkat berikut !

g. 64 to the power of 1 half end exponent divided by 64 to the power of 7 over 6 end exponent
h. 81 to the power of negative 1 half end exponent divided by 81 to the power of negative 3 over 4 end exponent

D. Nuryani

Master Teacher

Mahasiswa/Alumni Universitas Padjadjaran

Jawaban terverifikasi

Jawaban

hasil dari  64 to the power of 1 half end exponent divided by 64 to the power of 7 over 6 end exponent equals 1 over 16, dan 81 to the power of negative 1 half end exponent divided by 81 to the power of negative 3 over 4 end exponent equals 3.

Pembahasan

Ingatlah sifat-sifat bilangan berpangkat berikut.

left parenthesis straight i right parenthesis space a to the power of m over n end exponent equals n-th root of a to the power of m end root left parenthesis ii right parenthesis space a to the power of m divided by a to the power of n equals a to the power of m minus n end exponent left parenthesis iii right parenthesis 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 iv right parenthesis space a to the power of negative m end exponent equals 1 over a to the power of m    

Berdasarkan sifat-sifat di atas, maka:

g)

table attributes columnalign right center left columnspacing 0px end attributes row cell 64 to the power of 1 half end exponent divided by 64 to the power of 7 over 6 end exponent end cell equals cell 64 to the power of 1 half minus 7 over 6 end exponent end cell row blank equals cell 64 to the power of fraction numerator 3 minus 7 over denominator 6 end fraction end exponent end cell row blank equals cell 64 to the power of negative 4 over 6 end exponent end cell row blank equals cell 64 to the power of negative 2 over 3 end exponent end cell row blank equals cell 1 over 64 to the power of begin display style 2 over 3 end style end exponent end cell row blank equals cell fraction numerator 1 over denominator cube root of 64 squared end root end fraction end cell row blank equals cell fraction numerator 1 over denominator cube root of open parentheses 2 to the power of 6 close parentheses squared end root end fraction end cell row blank equals cell fraction numerator 1 over denominator cube root of 2 to the power of 6 cross times 2 end exponent end root end fraction end cell row blank equals cell fraction numerator 1 over denominator cube root of 2 to the power of 12 end root end fraction end cell row blank equals cell 1 over 2 to the power of begin display style 12 over 3 end style end exponent end cell row blank equals cell 1 over 2 to the power of 4 end cell row blank equals cell 1 over 16 end cell end table

h)

table attributes columnalign right center left columnspacing 0px end attributes row cell 81 to the power of negative 1 half end exponent divided by 81 to the power of negative 3 over 4 end exponent end cell equals cell 81 to the power of negative 1 half minus open parentheses negative 3 over 4 close parentheses end exponent end cell row blank equals cell 81 to the power of negative 1 half plus 3 over 4 end exponent end cell row blank equals cell 81 to the power of fraction numerator negative 2 plus 3 over denominator 4 end fraction end exponent end cell row blank equals cell 81 to the power of 1 fourth end exponent end cell row blank equals cell fourth root of 81 end cell row blank equals cell fourth root of 3 to the power of 4 end root end cell row blank equals 3 end table

Dengan demikian, hasil dari  64 to the power of 1 half end exponent divided by 64 to the power of 7 over 6 end exponent equals 1 over 16, dan 81 to the power of negative 1 half end exponent divided by 81 to the power of negative 3 over 4 end exponent equals 3.

25

0.0 (0 rating)

Pertanyaan serupa

Tentukan hasil pemangkatan bilangan berpangkat berikut ! d. 16−21​×1641​ e. 3257​÷3253​ f. 49−61​÷4931​

117

0.0

Jawaban terverifikasi

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Ruangguru

Produk Ruangguru

Produk Lainnya

Hubungi Kami

Ruangguru WhatsApp

081578200000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2022 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia