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

Answer:

(1.03)^2t

Step-by-step explanation:

Hope this helps!

Answer 2

Answer: $1.06^t$.

Step-by-step 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

$(a^m)^n = a^{m\times n}$

Applying same rule in given expression, we get

$(1.06^{1/2})^{2t} = (1.06)^{\frac{1}{2} \times 2t}$

On simplifying exponents, we would get t in exponent.

=  $1.06^t$.