Answer:
[tex]\frac{1}{2^{10}}=2^{-10}[/tex]
Step-by-step explanation:
[tex]\frac{1}{1024}[/tex]
To get the expression with negative exponent , we need to convert the number 1024 in exponential form
[tex]1024= 2^5 \cdot 2^5= 2^{10}[/tex]
Replace the denominator by 2^10
[tex]\frac{1}{2^{10}}[/tex]
Now we apply exponential property
[tex]\frac{1}{a^m} =a^{-m}[/tex]
[tex]\frac{1}{2^{10}}=2^{-10}[/tex]
negative exponent other than -1 is [tex]\frac{1}{2^{10}}=2^{-10}[/tex]
