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`

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.