Pertanyaan

Tentukan hasil pengerjaan hitung berikut. b. 7 2 × 2 − 1 × 5 2 ( 7 2 × 2 − 3 × 5 3 ) − ( 5 2 × 7 × 2 2 )

Tentukan hasil pengerjaan hitung berikut.

b. $\frac{( 7 ^{2} \times 2 ^{- 3} \times 5 ^{3} ) - ( 5 ^{2} \times 7 \times 2 ^{2} )}{7 ^{2} \times 2 ^{- 1} \times 5 ^{2}}$

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Pembahasan

Sifat-sifat bilangan berpangkat di antaranya sebagai berikut. , , , Penyelesaian soal di atas adalah sebagai berikut. Dengan demikian, hasil pengerjaan hitung

Sifat-sifat bilangan berpangkat di antaranya sebagai berikut.

a to the power of m over a to the power of n equals a to the power of m minus n end exponent , a not equal to 0

a to the power of negative m end exponent equals 1 over a to the power of m , a not equal to 0

a to the power of 0 equals 1 , a not equal to 0

Penyelesaian soal di atas adalah sebagai berikut.

$table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator open parentheses 7 squared cross times 2 to the power of negative 3 end exponent cross times 5 cubed close parentheses minus open parentheses 5 squared cross times 7 cross times 2 squared close parentheses over denominator 7 squared cross times 2 to the power of negative 1 end exponent cross times 5 squared end fraction end cell row blank equals cell fraction numerator 7 squared cross times 2 to the power of negative 3 end exponent cross times 5 cubed over denominator 7 squared cross times 2 to the power of negative 1 end exponent cross times 5 squared end fraction minus fraction numerator 5 squared cross times 7 cross times 2 squared over denominator 7 squared cross times 2 to the power of negative 1 end exponent cross times 5 squared end fraction end cell row blank equals cell open parentheses 7 to the power of 2 minus 2 end exponent cross times 2 to the power of negative 3 minus open parentheses negative 1 close parentheses end exponent cross times 5 to the power of 3 minus 2 end exponent close parentheses minus open parentheses 7 to the power of 1 minus 2 end exponent cross times 2 to the power of 2 minus open parentheses negative 1 close parentheses end exponent cross times 5 to the power of 2 minus 2 end exponent close parentheses end cell row blank equals cell open parentheses 7 to the power of 0 cross times 2 to the power of negative 2 end exponent cross times 5 close parentheses minus open parentheses 7 to the power of negative 1 end exponent cross times 2 cubed cross times 5 to the power of 0 close parentheses end cell row blank equals cell open parentheses 1 cross times 1 over 2 squared cross times 5 close parentheses minus open parentheses 1 over 7 cross times 8 cross times 1 close parentheses end cell row blank equals cell 5 over 4 minus 8 over 7 end cell row blank equals cell 35 over 28 minus 32 over 28 end cell row blank equals cell 3 over 28 end cell end table$

Dengan demikian, hasil pengerjaan hitung $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator open parentheses 7 squared cross times 2 to the power of negative 3 end exponent cross times 5 cubed close parentheses minus open parentheses 5 squared cross times 7 cross times 2 squared close parentheses over denominator 7 squared cross times 2 to the power of negative 1 end exponent cross times 5 squared end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 3 over 28 end cell end table$