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

Option 2 -
`(2^2* 2^3)/(2^4)=2^(1)`

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.
`(2^2* 2^3)/(2^4)`

Solving the expression,

As,
`x^a* x^b=x^(a+b)`

`(2^2* 2^3)/(2^4)=(2^(2+3))/(2^4)`

`(2^2* 2^3)/(2^4)=(2^(5))/(2^4)`

As,
`\farc{x^a}{x^b}=x^(a-b)`

`(2^2* 2^3)/(2^4)=2^(5-4)`

`(2^2* 2^3)/(2^4)=2^(1)`

`(2^2* 2^3)/(2^4)=1`

Therefore, The option 2 is correct.