Matematika Sekolah Menengah Atas [tex]\large\boxed{\sqrt[6]{\left(\sqrt[4]{((\sqrt[7]{10^{56}}))^2}\right)^3}=...}[/tex]

[tex]\large\boxed{\sqrt[6]{\left(\sqrt[4]{((\sqrt[7]{10^{56}}))^2}\right)^3}=...}[/tex]

jawaban

[tex]\sqrt[6]{\left(\sqrt[4]{((\sqrt[7]{10^{56}}))^2}\right)^3}[/tex]

[tex] = \sqrt[(6 \times 4 \times 7)]{ {10}^{(56 \times 2 \times 3)} } [/tex]

[tex] = \sqrt[168]{ {10}^{336} } [/tex]

[tex] = {10}^{ \frac{336}{168} } [/tex]

[tex] = {10}^{ 2} [/tex]

[tex] = 100[/tex]

[tex] \tt = \sqrt[6]{\left(\sqrt[4]{((\sqrt[7]{10^{56}}))^2}\right)^3}[/tex]

[tex]\tt = \sqrt[6]{\left(\sqrt[4]{(10^{ \frac{56}{7} })^2}\right)^3}[/tex]

[tex]\tt = \sqrt[6]{\left(\sqrt[4]{(10^{8})^2}\right)^3}[/tex]

[tex]\tt = \sqrt[6]{\left(\sqrt[4]{10^{16}}\right)^3}[/tex]

[tex]\tt = \sqrt[6]{\left({10}^{ \frac{16}{4}} \right)^3}[/tex]

[tex]\tt = \sqrt[6]{{({10}^{4} )}^3}[/tex]

[tex]\tt = \sqrt[6]{{10}^{12} }[/tex]

[tex]\tt ={10}^{ \frac{12}{6} } [/tex]

= 10²

= 10 × 10

= 100

[tex] \pink{\boxed{\red{\boxed{\purple{\mathfrak{\ast ~ \blue{Celia ~ Claire} ~ \ast}}}}}}[/tex]

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