Question

What is the simplified expression for 2 power 2 multiplied by 2 power 3 over 2 power 4?

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Answer 1

Im not sure about those answers! But here is what i got !

Answer 2

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.