Pertanyaan

Nilai dari ( 81 ) 4 1 + ( 27 ) 3 1 ( 125 ) 3 2 − ( 25 ) 2 1 = ....

Nilai dari $\frac{( 125 ) ^{\frac{2}{3}} - ( 25 ) ^{\frac{1}{2}}}{( 81 ) ^{\frac{1}{4}} + ( 27 ) ^{\frac{1}{3}}}$ = ....

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Klaim

S. Intan

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style fraction numerator left parenthesis 125 right parenthesis to the power of 2 over 3 end exponent minus left parenthesis 25 right parenthesis to the power of 1 half end exponent over denominator left parenthesis 81 right parenthesis to the power of 1 fourth end exponent plus left parenthesis 27 right parenthesis to the power of 1 third end exponent end fraction end style$

$begin mathsize 14px style equals fraction numerator open parentheses 5 cubed close parentheses to the power of 2 over 3 end exponent minus open parentheses 5 squared close parentheses to the power of 1 half end exponent over denominator open parentheses 3 to the power of 4 close parentheses to the power of 1 fourth end exponent plus open parentheses 3 cubed close parentheses to the power of 1 third end exponent end fraction equals fraction numerator open parentheses 5 close parentheses to the power of 3.2 over 3 end exponent minus open parentheses 5 close parentheses to the power of 2.1 half end exponent over denominator open parentheses 3 close parentheses to the power of 4.1 fourth end exponent plus open parentheses 3 close parentheses to the power of 3.1 third end exponent end fraction equals fraction numerator 5 squared minus 5 over denominator 3 plus 3 end fraction equals fraction numerator 25 minus 5 over denominator 6 end fraction equals 20 over 6 equals 10 over 3 end style$