Question

5×5²:5⁶=

tolong jawab kan​

Answer 1

Eksponen

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Sifat-sifat Eksponen:

[tex]\begin{gathered} \begin{array}{ | c| c | } \hline\ \ \text{bentuk}& \text{penyederhanaan} \\ \hline a {}^{m} \times a {}^{n} &a {}^{(m + n)} \\ \hline (a {}^{m} ) {}^{n} &a {}^{(m \times n)} \\ \hline a {}^{n} \times {b}^{n} &(ab) {}^{n} \\ \hline a {}^{n} \div {b}^{n} &( \frac{a}{b} ) {}^{n} \\ \hline \frac{a {}^{m} }{ {a}^{n} } &a {}^{(m - n)} \\ \hline a {}^{0} &1 \: (a≠0) \\ \hline a {}^{ - n} & \frac{1}{a {}^{n} } \\ \hline a {}^{ \frac{m}{n} } & \sqrt[n]{a {}^{m} } \\ \hline \: ( \frac{a}{b}) {}^{ - n} & (\frac{b}{a} ) {}^{n} \\ \hline ( \frac{a}{b} ) {}^{n} & \frac{a {}^{n} }{ {b}^{n} } \\ \hline \end{array}\end{gathered}[/tex]

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Penyelesaian Soal

[tex]5 {}^{1} \times 5 {}^{2} \div 5 {}^{6} = 5 {}^{(1 + 2 - 6)} [/tex]

[tex]~~~~~~~~~~~~~~~~~~~~~~= {5}^{(3 - 6)} [/tex]

[tex]~~~~~~~~~~~~~~~~~~~~~~= {5}^{ - 3} [/tex]

[tex]~~~~~~~~~~~~~~~~~~~~~~= \frac{1}{ {5}^{3} } [/tex]

[tex]~~~~~~~~~~~~~~~~~~~~~~= \frac{1}{5 \times 5 \times 5} [/tex]

[tex]~~~~~~~~~~~~~~~~~~~~~~= \frac{1}{25 \times 5} [/tex]

[tex]~~~~~~~~~~~~~~~~~~~~~~= \frac{1}{125} [/tex]

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[tex]\begin{array}{lr}\texttt{Rate 1.0 Jika Kalian Iri dengan}\\\\ \texttt{Yang Mulia Maharaja Danial Alf'at}\end{array}[/tex] ☝️

[tex]\boxed{\colorbox{ccddff}{Answered by Danial Alf'at}}\boxed{\colorbox{ccddff}{15/03/23}}[/tex]