Penjelasan dengan langkah-langkah:
Diketahui :
[tex]a = 4[/tex]
[tex]b = 2[/tex]
[tex]c = \frac{1}{2}[/tex]
[tex] \: [/tex]
Ditanya: [tex]a^{-2} \times b^4 / c^{-3}[/tex]
Dijawab:
[tex]4^{-2} \times 2^4 / (\frac{1}{2})^{-3}[/tex]
[tex]4^{-2} = \frac{1}{4^2} = \frac{1}{16}[/tex]
[tex]2^4 = 2 \times 2 \times 2 \times 2 = 16[/tex]
[tex](\frac{1}{2})^{-3} = \frac{1}{(\frac{1}{2})^3} = \frac{1}{\frac{1}{8}} = 8[/tex]
[tex](a^{-2}) \times b^4 / c^{-3} = \frac{1}{16} \times 16 / 8 = \frac{1}{8}[/tex]
Jadi, nilai dari [tex]a^{-2} \times b^4 / c^{-3} [/tex] adalah [tex] \frac{1}{8}[/tex]
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[tex] \frac{1}{8}[/tex]
Penjelasan dengan langkah-langkah:
Diketahui :
[tex]a = 4[/tex]
[tex]b = 2[/tex]
[tex]c = \frac{1}{2}[/tex]
[tex] \: [/tex]
Ditanya: [tex]a^{-2} \times b^4 / c^{-3}[/tex]
[tex] \: [/tex]
Dijawab:
[tex]4^{-2} \times 2^4 / (\frac{1}{2})^{-3}[/tex]
[tex]4^{-2} = \frac{1}{4^2} = \frac{1}{16}[/tex]
[tex]2^4 = 2 \times 2 \times 2 \times 2 = 16[/tex]
[tex](\frac{1}{2})^{-3} = \frac{1}{(\frac{1}{2})^3} = \frac{1}{\frac{1}{8}} = 8[/tex]
[tex] \: [/tex]
[tex](a^{-2}) \times b^4 / c^{-3} = \frac{1}{16} \times 16 / 8 = \frac{1}{8}[/tex]
[tex] \: [/tex]
Jadi, nilai dari [tex]a^{-2} \times b^4 / c^{-3} [/tex] adalah [tex] \frac{1}{8}[/tex]
[tex] \: [/tex]