The expression 700(1.005644)4x shows the quarterly interest rate Letrice earns after x years. Which expression shows the x isolated in the exponent in an equivalent form?

Respuesta :

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.