Answer: [tex]700( 1.02276784858 )^x[/tex]
Step-by-step explanation:
Here, the given expression,
[tex]700(1.005644)^{4x }[/tex]
Where x is the number of years.
We can write,
[tex]700(1.005644)^{4x } = 700[(1.005644)^4]^x[/tex] ( Because [tex](a^m)^n = a^{mn}[/tex] )
⇒ [tex]700(1.005644)^{4x } = 700(1.02276784858)^x[/tex]
Since, In the expression [tex]700(1.02276784858)^x[/tex], x is isolated in exponent and it is also equivalent to the given expression.
Therefore, it is our required answer.