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Tentukan hasil operasi bilangan berpangkat berikut! a. 5 6 × 5 − 4 b. a − 2 × a − 9 c. 4 − 8 × 4 5

Tentukan hasil operasi bilangan berpangkat berikut!

a.
b.
c.

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D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

hasil dari , , dan .

hasil dari  5 to the power of 6 cross times 5 to the power of negative 4 end exponent equals 25, a to the power of negative 2 end exponent cross times a to the power of negative 9 end exponent equals 1 over a to the power of 11, dan 4 to the power of negative 8 end exponent cross times 4 to the power of 5 equals 1 over 64.

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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 a to the power of m cross times a to the power of n equals a to the power of m plus n end exponent left parenthesis ii 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:

a)

table attributes columnalign right center left columnspacing 0px end attributes row cell 5 to the power of 6 cross times 5 to the power of negative 4 end exponent end cell equals cell 5 to the power of 6 plus open parentheses negative 4 close parentheses end exponent end cell row blank equals cell 5 squared end cell row blank equals 25 end table

b)

table attributes columnalign right center left columnspacing 0px end attributes row cell a to the power of negative 2 end exponent cross times a to the power of negative 9 end exponent end cell equals cell a to the power of negative 2 plus open parentheses negative 9 close parentheses end exponent end cell row blank equals cell a to the power of negative 11 end exponent end cell row blank equals cell 1 over a to the power of 11 end cell end table

c)

table attributes columnalign right center left columnspacing 0px end attributes row cell 4 to the power of negative 8 end exponent cross times 4 to the power of 5 end cell equals cell 4 to the power of negative 8 plus 5 end exponent end cell row blank equals cell 4 to the power of negative 3 end exponent end cell row blank equals cell 1 over 4 cubed end cell row blank equals cell 1 over 64 end cell end table

Dengan demikian, hasil dari  5 to the power of 6 cross times 5 to the power of negative 4 end exponent equals 25, a to the power of negative 2 end exponent cross times a to the power of negative 9 end exponent equals 1 over a to the power of 11, dan 4 to the power of negative 8 end exponent cross times 4 to the power of 5 equals 1 over 64.

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