/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 16 Evaluate each exponential expres... [FREE SOLUTION] | 91Ó°ÊÓ

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Evaluate each exponential expression. $$\left(3^{3}\right)^{2}$$

Short Answer

Expert verified
The evaluated result of the expression \((3^3)^2\) is 729.

Step by step solution

01

Identify Base and Exponents

In the given expression, the base is 3, written twice as an exponent. We have \(3^3\), and then this result is taken to the power of 2: \((3^3)^2\). This means three raised to the power of three and then that result raised to the power of two.
02

Apply Exponent Rules

We will use the rule of exponents which states that \((a^{n})^m=a^{n*m}\) to simplify our expression. So \((3^3)^2\), should be rewritten as \(3^{3*2}\). Therefore, it simplifies to \(3^6\).
03

Compute the Result

Finally calculate the value of the equation \(3^6\) which equals 729.

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