QUIZ #276[tex] \frac{ \sqrt{ \sqrt{4} } }{ \sqrt{ \sqrt{x} } } = 16[/tex]Maka Nilai[tex]x \times {x}.... Question from @Elderberry

May 2022 2 8 Report

QUIZ #276

[tex] \frac{ \sqrt{ \sqrt{4} } }{ \sqrt{ \sqrt{x} } } = 16[/tex]
Maka Nilai
[tex]x \times {x}^{14} = ...[/tex]

azrella

$\tt \cfrac{ \sqrt{ \sqrt{4} } }{ \sqrt{ \sqrt{x} } } = 16$

$\tt \cfrac{ \sqrt{ \sqrt{4} } }{ \sqrt{ \sqrt{x} } } = 16 \: \: \: \to \: pangkat \: kan \: semua \: ruas \: dengan \: 4$

$\tt \cfrac{ 4 }{ x} = {16}^{4}$

$\rm \: x = \dfrac{4}{ {16}^{4} }$

$\rm \: x = \dfrac{4}{ {4}^{8} }$

$\rm \: x = \dfrac{1}{ {4}^{7} }$

$\: \:$

Maka

$\tt \: x \times {x}^{14}$

$\tt = {x}^{15}$

$\tt = \left({ \frac{1}{ {4}^{7} } } \right)^{15}$

$\tt = \dfrac{1}{ {4}^{105} }$

$\boxed{ \tt = \dfrac{1}{ {2}^{210} } }$

1 votes Thanks 1

HayabusaBrainly01

Jawaban:

See below~

Penjelasan dengan langkah-langkah:

•Mencari nilai x

$\frac{ \sqrt{ \sqrt{4} } }{ \sqrt{ \sqrt{x} } } = 16 \\ \frac{ \sqrt[2 \times 2]{4} }{ \sqrt[2 \times 2]{x} } = 16 \\ \frac{ \sqrt[4]{4} }{ \sqrt[4]{x} } = 16 \\ 16x {}^{ \frac{1}{4} } = 4 {}^{ \frac{1}{4} } \\ 16x = (4 {}^{ \frac{1}{4} } ) {}^{4} \\ 16x = 4 \\ x = \frac{1}{4}$

$\:$

•Mencari nilai x × $x^{14}$

$= \frac{1}{4} \times ( \frac{1}{4} ) {}^{14} \\ = (\frac{1}{4} ) {}^{14 + 1} \\ = \bf( \frac{1}{4} ) {}^{15}$

0 votes Thanks 2

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