Question

sederhanakanlahh!!
[tex] \sqrt[5]{32³} . \sqrt[3]{125²} = [/tex]
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Answer 1

Jawaban:

= ⁵√32³ x ³√125²

= (32)^3/5 x ( 125)^2/3

= (2⁵)^3/5 x (5³)^2/3

= 2³ x 5²

= 8 x 25

= 200

Answer 2

Jawaban:

Penyelesaian :

[tex] \sf \sqrt[5]{32³} \: . \: \sqrt[3]{125²}[/tex]

[tex] \sf = {32}^{( \red{ \frac{3}{5} })} \: . \: {125}^{( \red{ \frac{2}{3} })} [/tex]

[tex] \sf = ( {2}^{5} ) {}^{ \frac{3}{5} } \: . \: ( {5}^{3} ) {}^{ \frac{2}{3} } [/tex]

[tex] \sf = ( {2}^{ \: \cancel{5 \: }} ) {}^{ \frac{3}{ \cancel{ \: 5}} } \: . \: ( {5}^{ \: \cancel{ \: 3}} ) {}^{ \frac{2}{ \cancel{ \: 3}} } [/tex]

[tex] \sf = ( {2)}^{3} \: . \: ( {5)}^{2} [/tex]

[tex] \sf = {2}^{3} \: . \: {5}^{2} [/tex]

[tex] \sf = 8 \: . \: 25[/tex]

[tex] \sf = \red{200}[/tex]

'비상' (Svt)