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Pertanyaan

Tentukan hasil operasi bilangan berpangkat berikut! a. 6 7 × 6 − 5 ÷ 6 4 b. 4 − 6 × 4 9 ÷ 4 − 2 c. a 8 ÷ ( a − 7 × a 4 )

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  6 to the power of 7 cross times 6 to the power of negative 5 end exponent divided by 6 to the power of 4 equals 1 over 36, 4 to the power of negative 6 end exponent cross times 4 to the power of 9 divided by 4 to the power of negative 2 end exponent equals 1.024, dan a to the power of 8 divided by open parentheses a to the power of negative 7 end exponent cross times a to the power of 4 close parentheses equals a to the power of 11.

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 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 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 6 to the power of 7 cross times 6 to the power of negative 5 end exponent divided by 6 to the power of 4 end cell equals cell 6 to the power of 7 plus open parentheses negative 5 close parentheses end exponent divided by 6 to the power of 4 end cell row blank equals cell 6 squared divided by 6 to the power of 4 end cell row blank equals cell 6 to the power of 2 minus 4 end exponent end cell row blank equals cell 6 to the power of negative 2 end exponent end cell row blank equals cell 1 over 6 squared end cell row blank equals cell 1 over 36 end cell end table

b)

table attributes columnalign right center left columnspacing 0px end attributes row cell 4 to the power of negative 6 end exponent cross times 4 to the power of 9 divided by 4 to the power of negative 2 end exponent end cell equals cell 4 to the power of negative 6 plus 9 end exponent divided by 4 to the power of negative 2 end exponent end cell row blank equals cell 4 cubed divided by 4 to the power of negative 2 end exponent end cell row blank equals cell 4 to the power of 3 minus open parentheses negative 2 close parentheses end exponent end cell row blank equals cell 4 to the power of 3 plus 2 end exponent end cell row blank equals cell 4 to the power of 5 end cell row blank equals cell 1.024 end cell end table

c)

table attributes columnalign right center left columnspacing 0px end attributes row cell a to the power of 8 divided by open parentheses a to the power of negative 7 end exponent cross times a to the power of 4 close parentheses end cell equals cell a to the power of 8 divided by a to the power of negative 7 plus 4 end exponent end cell row blank equals cell a to the power of 8 divided by a to the power of negative 3 end exponent end cell row blank equals cell a to the power of 8 minus open parentheses negative 3 close parentheses end exponent end cell row blank equals cell a to the power of 8 plus 3 end exponent end cell row blank equals cell a to the power of 11 end cell end table

Dengan demikian, hasil dari  6 to the power of 7 cross times 6 to the power of negative 5 end exponent divided by 6 to the power of 4 equals 1 over 36, 4 to the power of negative 6 end exponent cross times 4 to the power of 9 divided by 4 to the power of negative 2 end exponent equals 1.024, dan a to the power of 8 divided by open parentheses a to the power of negative 7 end exponent cross times a to the power of 4 close parentheses equals a to the power of 11.

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