Question

mintol dikerjakan mtk​

Answer 1

Jawaban:

[tex]4 \frac{1}{4} [/tex]

Penjelasan dengan langkah-langkah:

[tex] {8}^{ - \frac{1}{3} } = \frac{1}{ {8}^{ \frac{1}{3} } } = \frac{1}{2} \\ {32}^{ - \frac{2}{5} } = \frac{1}{ {32}^{ \frac{2}{5} } } = \frac{1}{4} \\ {16}^{ \frac{1}{2} } = 4 \\ [/tex]

[tex] \frac{1}{2} - \frac{1}{4} + 4 = \frac{2}{4} - \frac{1}{4} + 4 = \frac{1}{4} + 4 = 4 \frac{1}{4} [/tex]

Answer 2

Jawaban:

[tex] \sf d. \: 4 \frac{1}{4} [/tex]

Penjelasan dengan langkah-langkah:

Penyelesaian :

[tex] \sf {8}^{ - \frac{1}{3} } - {32}^{ - \frac{2}{5} } + {16}^{ \frac{1}{2} } [/tex]

[tex] \sf = ( {2}^{3} {)}^{ - \frac{1}{3} } - ( {2}^{5} {)}^{ - \frac{2}{5} } + \sqrt[2]{ {16}^{1} } [/tex]

[tex] \sf = {2}^{3 \times ( - \frac{1}{3}) } - {2}^{5 \times ( - \frac{2}{5}) } + \sqrt[2]{16} [/tex]

[tex] \sf = {2}^{ - 1} - {2}^{ - 2} + 4[/tex]

[tex] \sf = \frac{1}{ {2}^{1} } - \frac{1}{ {2}^{2} } + 4[/tex]

[tex] \sf = \frac{1}{2} - \frac{1}{4} + \frac{4}{1} [/tex]

[tex] \sf = \frac{2}{4} - \frac{1}{4} + \frac{16}{4} [/tex]

[tex] \sf = \frac{1}{4} + \frac{16}{4} [/tex]

[tex] \sf = \frac{17}{4} \to \red{ \tt4 \frac{1}{4} }[/tex]

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