Pertanyaan

( 3 5 4 ) 2 × ( 19 5 ) − 1 − ( 2 3 ) 2 ÷ ( 2 3 ) 5 = ....

$(3 \frac{4}{5})^{2} \times (\frac{5}{19})^{- 1} - (\frac{3}{2})^{2} \div (\frac{3}{2})^{5} = ....$

$begin mathsize 14px style 54 fraction numerator 1.943 over denominator 3.375 end fraction end style$
$size 14px 53 fraction numerator size 14px 1 size 14px. size 14px 721 over denominator size 14px 3 size 14px. size 14px 375 end fraction$
$size 14px 52 fraction numerator size 14px 1 size 14px. size 14px 579 over denominator size 14px 3 size 14px. size 14px 375 end fraction$
$size 14px 51 fraction numerator size 14px 1 size 14px. size 14px 381 over denominator size 14px 3 size 14px. size 14px 375 end fraction$

A. Nadhira

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

Perhatikan bahwa Selanjutnya, dengan Maka

Perhatikan bahwa

$begin mathsize 14px style 3 4 over 5 equals fraction numerator 3 cross times 5 plus 4 over denominator 5 end fraction equals fraction numerator 15 plus 4 over denominator 5 end fraction equals 19 over 5 end style$

Selanjutnya, dengan

Maka

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 3 4 over 5 close parentheses squared cross times open parentheses 5 over 19 close parentheses to the power of negative 1 end exponent minus open parentheses 3 over 2 close parentheses squared divided by open parentheses 3 over 2 close parentheses to the power of 5 end cell equals cell open parentheses 19 over 5 close parentheses squared cross times open parentheses open parentheses 19 over 5 close parentheses to the power of negative 1 end exponent close parentheses to the power of negative 1 end exponent minus open parentheses 3 over 2 close parentheses to the power of 2 minus 5 end exponent end cell row blank equals cell open parentheses 19 over 5 close parentheses squared cross times open parentheses 19 over 5 close parentheses to the power of 1 minus open parentheses 3 over 2 close parentheses to the power of negative 3 end exponent end cell row blank equals cell open parentheses 19 over 5 close parentheses to the power of 2 plus 1 end exponent minus open parentheses open parentheses 2 over 3 close parentheses to the power of negative 1 end exponent close parentheses to the power of negative 3 end exponent end cell row blank equals cell open parentheses 19 over 5 close parentheses cubed minus open parentheses 2 over 3 close parentheses cubed end cell row blank equals cell fraction numerator 6.859 over denominator 125 end fraction minus 8 over 27 end cell row blank equals cell fraction numerator 185.193 minus 1.000 over denominator 3.375 end fraction end cell row blank equals cell fraction numerator 184.193 over denominator 3.375 end fraction end cell row blank equals cell 54 fraction numerator 1.943 over denominator 3.375 end fraction end cell end table$