Question

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?

Answer 1

Answer: $700( 1.02276784858 )^x$

Step-by-step explanation:

Here, the given expression,

$700(1.005644)^{4x }$

Where x is the number of years.

We can write,

$700(1.005644)^{4x } = 700[(1.005644)^4]^x$  ( Because $(a^m)^n = a^{mn}$ )

⇒ $700(1.005644)^{4x } = 700(1.02276784858)^x$

Since, In the expression $700(1.02276784858)^x$,  x is isolated in exponent and it is also equivalent to the given expression.

Therefore, it is our required answer.