Question

Who can solve this ? please solve it as faster as u can . the person who will give first answer will be marked as brilliant​

Answer 1

Answer:

((2³)⁻² X (5*2)⁻⁴) / (2⁻⁵⁺⁽⁻² X 5⁻⁴⁾)

= (2⁻⁶ X 5⁻⁴ X 2⁻⁴) / (2⁻⁷ X 5⁻⁴)

= (2⁻⁶⁺⁽⁻⁴⁾ X 5⁻⁴) / (2⁻⁷ X 5⁻⁴)

= (2⁻¹⁰ X 5⁻⁴) / (2⁻⁷ X 5⁻⁴)

= 2⁻¹⁰⁻⁽⁻⁷⁾ X 5⁻⁴⁻⁽⁻⁴⁾

= 2⁻³ X 5⁰

= -8 X 1

= -8

Step-by-step explanation:

Hope it helps you buddy :)

Answer 2

$\large\underline{\rm \purple{Solution} :}$

$\longrightarrow \sf \dfrac{ {8}^{ - 2} \times 10^{ - 4} }{ {2}^{ - 5} \times {5}^{ - 4} \times {2}^{ - 2} } \\ \\ \\ \longrightarrow \sf \dfrac{ \frac{1}{ {8}^{2} } \times \frac{1}{ {10}^{4} } }{ \frac{1}{ {2}^{5} } \times \frac{1}{ {5}^{4} } \times \frac{{1} }{ {2}^{2} } } \\ \\ \\ \longrightarrow \sf \dfrac{ \frac{1}{64} \times \frac{1}{10000} }{ \frac{1}{32} \times \frac{1}{625} \times \frac{1}{4} } \\ \\ \\ \sf \longrightarrow \dfrac{ \: \frac{1}{64\cancel{0000}} \: }{ \frac{1}{8\cancel{0000}} } \\ \\ \\ \sf \longrightarrow \dfrac{ \frac{1}{64} }{ \frac{1}{8} } \\ \\ \\ \sf \longrightarrow \dfrac{1}{\cancel{64}}\times \cancel{8} \\\\\\ \longrightarrow \boxed{\bf\dfrac{1}{8} = 8^{-1}}$

$\underline{\bf More\; information:}$

$\boxed{\begin{minipage}{6.6cm}\underline{\bf Exponents formulae : }\\\\\dag \sf (a^m)^n=a^{mn}\\\\\dag \sf a^{m+n}=a^m\times a^n\\\\\dag \sf a^{m-n} = a^m/a^n \\\\\sf \dag \sqrt{(a/b)}=\sqrt{a}/\sqrt{b}\\\\\dag \sf a^n=a^m\implies m=n \end{minipage}}$