Penjelasan dengan langkah-langkah:
[tex]8) \: \: \frac{ {( - 3)}^{7} \times {( - 3)}^{5} }{ {( - 3)}^{10} } \\ = ( { - 3)}^{7 + 5 + 10} \\ = ( { - 3})^{2} \\ = 9[/tex]
[tex]9) \: \: \frac{( - 2p {}^{2}) {}^{3} \times ( - 2p5) {}^{4} }{( - 2p) {}^{4} \times ( - 2p3) {}^{5} } \\ = \frac{( - 2p ){}^{(2 \times 3)} \times ( - 2 p) { }^{(5 \times 4)} }{ {( - 2p)}^{(4 \times 1)} \times {( - 2)}^{(3 \times 5)} } \\ = \frac{ - 2p {}^{6} \times - 2p {}^{20} }{ - 2p {}^{4} \times - 2p {}^{15} } \\ = { - 2p}^{(6 - 4)} \times - 2p {}^{(20 - 15)} \\ = { - 2p}^{2} \times { - 2p}^{5} \\ = - 2p {}^{(2 + 5)} \\ = - 2p {}^{7} [/tex]
[tex]10) \: \: \frac{25}{5 \sqrt{5} } \\ = \frac{25}{5 \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } \\ = \frac{25 \sqrt{5} }{5 \times 5} \\ = \frac{25 \sqrt{5} }{25} \\ = \sqrt{5} [/tex]
[tex]11) \: \: \frac{ \sqrt{160} }{ \sqrt{5} } \\ = \frac{4 \sqrt{10} }{ \sqrt{5} } \\ = \frac{4 \sqrt{2} \sqrt{5} }{ \sqrt{5} } \\ = 4 \sqrt{2} [/tex]
[tex]12) \: \: \frac{8 \sqrt{90} }{6 \sqrt{5} } \\ = \frac{8 \times 3 \sqrt{10} }{6 \sqrt{5} } \\ = \frac{8 \times 3 \sqrt{2} \sqrt{5} }{6 \sqrt{5} } \\ = \frac{8 \times 3 \sqrt{2} }{6} \\ = \frac{24 \sqrt{2} }{6} \\ = 4 \sqrt{2} [/tex]
13) (-3)³ + (-3)² + (-3)¹ + (-3)⁰
= - 27 + 9 - 3 + 1
= - 20
Semoga membantu ya ;)
Jangan lupa beri bintang dan kasih tanda love ;)
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Penjelasan dengan langkah-langkah:
[tex]8) \: \: \frac{ {( - 3)}^{7} \times {( - 3)}^{5} }{ {( - 3)}^{10} } \\ = ( { - 3)}^{7 + 5 + 10} \\ = ( { - 3})^{2} \\ = 9[/tex]
[tex]9) \: \: \frac{( - 2p {}^{2}) {}^{3} \times ( - 2p5) {}^{4} }{( - 2p) {}^{4} \times ( - 2p3) {}^{5} } \\ = \frac{( - 2p ){}^{(2 \times 3)} \times ( - 2 p) { }^{(5 \times 4)} }{ {( - 2p)}^{(4 \times 1)} \times {( - 2)}^{(3 \times 5)} } \\ = \frac{ - 2p {}^{6} \times - 2p {}^{20} }{ - 2p {}^{4} \times - 2p {}^{15} } \\ = { - 2p}^{(6 - 4)} \times - 2p {}^{(20 - 15)} \\ = { - 2p}^{2} \times { - 2p}^{5} \\ = - 2p {}^{(2 + 5)} \\ = - 2p {}^{7} [/tex]
[tex]10) \: \: \frac{25}{5 \sqrt{5} } \\ = \frac{25}{5 \sqrt{5} } \times \frac{ \sqrt{5} }{ \sqrt{5} } \\ = \frac{25 \sqrt{5} }{5 \times 5} \\ = \frac{25 \sqrt{5} }{25} \\ = \sqrt{5} [/tex]
[tex]11) \: \: \frac{ \sqrt{160} }{ \sqrt{5} } \\ = \frac{4 \sqrt{10} }{ \sqrt{5} } \\ = \frac{4 \sqrt{2} \sqrt{5} }{ \sqrt{5} } \\ = 4 \sqrt{2} [/tex]
[tex]12) \: \: \frac{8 \sqrt{90} }{6 \sqrt{5} } \\ = \frac{8 \times 3 \sqrt{10} }{6 \sqrt{5} } \\ = \frac{8 \times 3 \sqrt{2} \sqrt{5} }{6 \sqrt{5} } \\ = \frac{8 \times 3 \sqrt{2} }{6} \\ = \frac{24 \sqrt{2} }{6} \\ = 4 \sqrt{2} [/tex]
13) (-3)³ + (-3)² + (-3)¹ + (-3)⁰
= - 27 + 9 - 3 + 1
= - 20
Semoga membantu ya ;)
Jangan lupa beri bintang dan kasih tanda love ;)