Question

1.06t can be written as (1.061/2)2t to give the approximate equivalent monthly interest rate based on an annual rate of 6%. Use the properties of exponents to transform the expression into a single exponent expression.

Answer 1

(1.03)^2t

Explanation:

Hope this helps!

Answer 2

Answer:
`1.06^t`.

Explanation: We are given expression
`1.06^t`.

And
`1.06^t` expression is converted in
`(1.06^(1/2))^(2t)`.

Now, we need to transform the expression into a single exponent expression using the properties of exponents.

We know, according to the properties of exponents

`(a^m)^n = a^(m* n)`

Applying same rule in given expression, we get

`(1.06^(1/2))^(2t) = (1.06)^{(1)/(2) * 2t}`

On simplifying exponents, we would get t in exponent.

=
`1.06^t`.