(8-²)^5/6
= (1/8²)^5)6
= (1/64)^5/6
= (1/2^6)^5/6
= (1/2)^5
= 1^5/2^5
= 1/32 [ D. ]
:)
[tex]\sf \bf \tt (8^{-2})^{\frac{5}{6}}[/tex]
[tex]\sf \bf \tt (\frac{1}{8²})^{\frac{5}{6}}[/tex]
[tex]\sf \bf \tt (\frac{1}{8 × 8})^{\frac{5}{6}}[/tex]
[tex]\sf \bf \tt (\frac{1}{64})^{\frac{5}{6}}[/tex]
[tex]\sf \bf \tt (\frac{1}{2^{6}})^{\frac{5}{6}}[/tex]
[tex]\sf \bf \tt (\frac{1}{2})^{6(\frac{5}{6})}[/tex]
[tex]\sf \bf \tt (\frac{1}{2})^{\frac{6 × 5}{6}}[/tex]
[tex]\sf \bf \tt (\frac{1}{2})^{\frac{30}{6}}[/tex]
[tex]\sf \bf \tt (\frac{1}{2})^{5}[/tex]
[tex]\sf \bf \tt \frac{1}{2} × \frac{1}{2} × \frac{1}{2} × \frac{1}{2} × \frac{1}{2}[/tex]
[tex]\sf \bf \tt \frac{1 × 1 × 1 × 1 × 1}{2 × 2 × 2 × 2 × 2}[/tex]
[tex]\sf \bf \tt \frac{1 × 1 × 1 × 1}{4 × 2 × 2 × 2}[/tex]
[tex]\sf \bf \tt \frac{1 × 1 × 1}{8 × 2 × 2}[/tex]
[tex]\sf \bf \tt \frac{1 × 1}{16 × 2}[/tex]
[tex]\bold{\underline{\boxed{\green{\sf \bf \tt \frac{ 1}{32}}}}}[/tex]
