Question

.
[tex]1. \: \: \frac{ {5}^{3} }{ {5}^{6} } \times {5}^{3} + 25 = \dots[/tex]
[tex]2. \: \: \small\sqrt[3]{8} \times \sqrt[]{4} + \sqrt{216} - \sqrt{150} = \dots[/tex]
.
.
.
Selamat Berjuang​

Answer 1

Verified answer

Eksponen

..

Sifat-sifat eksponen:

[tex]\begin{gathered} \begin{array}{ | c | c| c | } \hline\ \ \text{No}& \text{bentuk}& \text{penyederhanaan} \\ \hline 1 & a {}^{m} \times a {}^{n} &a {}^{(m + n)} \\ \hline 2 & (a {}^{m} ) {}^{n} &a {}^{(m \times n)} \\ \hline 3 & a {}^{n} \times {b}^{n} &(ab) {}^{n} \\ \hline 4 & a {}^{n} \div {b}^{n} &( \frac{a}{b} ) {}^{n} \\ \hline 5 & \frac{a {}^{m} }{ {a}^{n} } &a {}^{(m - n)} \\ \hline 6 & a {}^{0} &1 \: (a≠0) \\ \hline 7 & a {}^{ - n} & \frac{1}{a {}^{n} } \\ \hline 8 & a {}^{ \frac{m}{n} } & \sqrt[n]{a {}^{m} } \\ \hline 9 & ( \frac{a}{b}) {}^{ - n} & (\frac{b}{a} ) {}^{n} \\ \hline 10 & ( \frac{a}{b} ) {}^{n} & \frac{a {}^{n} }{ {b}^{n} } \\ \hline \end{array}\end{gathered}[/tex]

Nomor 1

[tex]\begin{aligned} \frac{5^3}{5^6} \times 5^3 + 25 &= 5^{(3-6)} \times 5^3 + 25 \\&= 5^{-3} \times 5^3 + 25 \\&= 5^{(-3+3)} + 25 \\&= 5^0 + 25 \\&= 1 + 25 \\&= \boxed{\bold{\underline{26}}} \end{aligned}[/tex]

Nomor 2

[tex]\begin{aligned} \sqrt[3]{8} \times \sqrt{4} + \sqrt{216} - \sqrt{150} &= \sqrt[3]{8} \sqrt{4} + \sqrt{36}\sqrt{6} - \sqrt{25}\sqrt{6} \\&= 2(2) + 6\sqrt{6} - 5\sqrt{6} \\&= \boxed{\bold{\underline{4 + \sqrt{6}}}} \end{aligned}[/tex]

[tex] \boxed{\begin{aligned} & \small \texttt{apa yang membuatmu terjaga sampai selarut ini?} \\&\small \texttt{kopi? atau kecemasan hati?} \end{aligned}}[/tex]

[tex]\boxed{\colorbox{ccddff}{Answered by Danial Alf'at | 28 - 05 - 2023}}[/tex]