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.

Respuesta :

Answer: [tex]1.06^t[/tex].


Step-by-step explanation: We are given expression [tex]1.06^t[/tex].

And [tex]1.06^t[/tex] expression is converted in [tex](1.06^{1/2})^{2t}[/tex].

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

[tex](a^m)^n = a^{m\times n}[/tex]

Applying same rule in given expression, we get

[tex](1.06^{1/2})^{2t} = (1.06)^{\frac{1}{2} \times 2t}[/tex]

On simplifying exponents, we would get t in exponent.

=  [tex]1.06^t[/tex].

Answer:

(1.03)^2t

Step-by-step explanation:

Hope this helps!

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