Answer:
1
Step-by-step explanation:
The given expression is
[tex]\frac{2^{\frac{11}{2} }\times 2^{-7}\times 2^{-5}}{2^3\times 2^{\frac{1}{2} }\times 2^{-10}}[/tex]
Recall and use
[tex]a^m\times a^n=a^{m+n}[/tex]
[tex]\frac{2^{\frac{11}{2} -7-5}}{ 2^{3+\frac{1}{2} -10}}[/tex]
[tex]\frac{2^{-\frac{13}{2}}}{ 2^{-\frac{13}{2}}}[/tex]
Same bases are dividing, so we write one base and subtract the exponent.
[tex]2^{-\frac{13}{2}+\frac{13}{2}}[/tex]
[tex]2^0=1[/tex]
