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

`700(1.022768)^x`

Step-by-step explanation:

We have been give an expression
`700(1.005644)^(4x)` that shows the quarterly interest rate Letrice earns after x years.

We can find an equivalent expression with x isolated by using exponent properties.

Since power rule of exponents states that an exponent raised to another exponent can be simplified by multiplying the exponents

So using power rule of exponents we can write our expression as:

`700((1.005644)^4)^x`

Now let us simplify our expression.

`700(1.0227678485832441)^x`

Upon rounding to 6 decimal places we will get,

`700(1.022768)^x`

Therefore, the expression
`700(1.022768)^x` shows the x isolated in the exponent in an equivalent form.