Answer:
[tex]\boxed{\frac{1}{2^{98}} }[/tex]
Step-by-step explanation:
[tex](\frac{2^{-10}}{4^2} )^7[/tex]
=> [tex](\frac{2^{-10}}{2^{2(2)}} )^7[/tex]
=> [tex](\frac{2^{-10}}{2^4} )^7[/tex]
Using law of exponents [tex]a^m/a^n = a^{m-n}[/tex]
=> [tex](2^{-10-4})^7[/tex]
=> [tex](2^{-14})^7[/tex]
=> [tex]2^{-98}[/tex]
=> [tex]\frac{1}{2^{98}}[/tex]
