Answer:
Option 2 - \(\frac{2^2\times 2^3}{2^4}=2^{1}\)
Step-by-step explanation:
Given : Expression '2 power 2 multiplied by 2 power 3 over 2 power 4'.
To find : What is the simplified expression ?
Solution :
Writing expression in numeric form,
'2 power 2 multiplied by 2 power 3 over 2 power 4',
i.e. \(\frac{2^2\times 2^3}{2^4}\)
Solving the expression,
As, \(x^a\times x^b=x^{a+b}\)
\(\frac{2^2\times 2^3}{2^4}=\frac{2^{2+3}}{2^4}\)
\(\frac{2^2\times 2^3}{2^4}=\frac{2^{5}}{2^4}\)
As, \(\farc{x^a}{x^b}=x^{a-b}\)
\(\frac{2^2\times 2^3}{2^4}=2^{5-4}\)
\(\frac{2^2\times 2^3}{2^4}=2^{1}\)
\(\frac{2^2\times 2^3}{2^4}=1\)
Therefore, The option 2 is correct.
