Pertanyaan

Jika a = 4 dan b = 5 , nilai dari ( ab ) 2 a 5 ( a − 2 b ) adalah ....

Jika $a = 4$ dan $b = 5$ , nilai dari $\frac{a ^{5} ( a ^{- 2} b )}{( ab ) ^{2}}$ adalah ....

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Klaim

I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Jawaban

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$begin mathsize 14px style fraction numerator a to the power of 5 open parentheses a to the power of negative 2 end exponent b close parentheses over denominator open parentheses a b close parentheses squared end fraction end style$ equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 4 over 5 end cell end table

equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 4 over 5 end cell end table

Pembahasan

Ingat! Sifat perpangkatan antara lain: Untuk dan , diperoleh Jadi, .

Ingat!

Sifat perpangkatan antara lain:

Untuk dan , diperoleh

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 4 to the power of 5 open parentheses 4 to the power of negative 2 end exponent times 5 close parentheses over denominator open parentheses 4 times 5 close parentheses squared end fraction end cell equals cell fraction numerator 4 to the power of 5 times 4 to the power of negative 2 end exponent times 5 over denominator 4 squared times 5 squared end fraction space bold left parenthesis bold sifat bold space bold 1 bold right parenthesis end cell row blank equals cell fraction numerator 4 to the power of 5 plus left parenthesis negative 2 right parenthesis end exponent times 5 over denominator 4 squared times 5 squared end fraction space bold left parenthesis bold sifat bold space bold 2 bold right parenthesis end cell row blank equals cell fraction numerator 4 cubed times 5 over denominator 4 squared times 5 squared end fraction end cell row blank equals cell 4 to the power of 3 minus 2 end exponent times 5 to the power of 1 minus 2 end exponent space bold left parenthesis bold sifat bold space bold 3 bold right parenthesis end cell row blank equals cell 4 times 5 to the power of negative 1 end exponent end cell row blank equals cell 4 times 1 fifth space bold left parenthesis bold sifat bold space bold 4 bold right parenthesis end cell row blank equals cell 4 over 5 end cell end table$

Jadi, $begin mathsize 14px style fraction numerator a to the power of 5 open parentheses a to the power of negative 2 end exponent b close parentheses over denominator open parentheses a b close parentheses squared end fraction end style$ equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 4 over 5 end cell end table .