Pertanyaan

Tentukan hasil operasi bilangan berpangkat berikut! d. b − 9 × b e. 8 − 5 ÷ 8 − 2 f. 1 , 5 5 ÷ 1 , 5 3

Tentukan hasil operasi bilangan berpangkat berikut!

d.
e.
f.

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D. Rajib

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Jawaban terverifikasi

Jawaban

hasil dari , , dan .

hasil dari  b to the power of negative 9 end exponent cross times b equals 1 over b to the power of 8, 8 to the power of negative 5 end exponent divided by 8 to the power of negative 2 end exponent equals 1 over 512, dan 1 comma 5 to the power of 5 divided by 1 comma 5 cubed equals 2 comma 25.

Pembahasan

Ingatlah sifat-sifat bilangan berpangkat berikut. Berdasarkan sifat-sifat di atas, maka: d) e) f) 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:

d)

table attributes columnalign right center left columnspacing 0px end attributes row cell b to the power of negative 9 end exponent cross times b end cell equals cell b to the power of negative 9 plus 1 end exponent end cell row blank equals cell b to the power of negative 8 end exponent end cell row blank equals cell 1 over b to the power of 8 end cell end table

e)

table attributes columnalign right center left columnspacing 0px end attributes row cell 8 to the power of negative 5 end exponent divided by 8 to the power of negative 2 end exponent end cell equals cell 8 to the power of negative 5 minus open parentheses negative 2 close parentheses end exponent end cell row blank equals cell 8 to the power of negative 5 plus 2 end exponent end cell row blank equals cell 8 to the power of negative 3 end exponent end cell row blank equals cell 1 over 8 cubed end cell row blank equals cell 1 over 512 end cell end table

f)

table attributes columnalign right center left columnspacing 0px end attributes row cell 1 comma 5 to the power of 5 divided by 1 comma 5 cubed end cell equals cell 1 comma 5 to the power of 5 minus 3 end exponent end cell row blank equals cell 1 comma 5 squared end cell row blank equals cell 2 comma 25 end cell end table

Dengan demikian, hasil dari  b to the power of negative 9 end exponent cross times b equals 1 over b to the power of 8, 8 to the power of negative 5 end exponent divided by 8 to the power of negative 2 end exponent equals 1 over 512, dan 1 comma 5 to the power of 5 divided by 1 comma 5 cubed equals 2 comma 25.

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