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Chapter 0: Problem 16

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

Short Answer

Expert verified
The evaluated value of the exponential expression \((3^{3})^{2}\) is 729.

Step by step solution

01

Base and Exponent

Identify the base and the exponents. Here, the base is 3, and there are two exponents: 3 and 2.
02

Apply Rule of Exponents

According to the rules of exponents, \((a^{m})^{n}\) is equal to \(a^{m*n}\). Apply this rule to \(3^{3^{2}}\). The calculation becomes \(3^{3*2}\).
03

Simplify Expression

Evaulate \(3^{3*2}\) to simplify the expression. This results in \(3^{6}\).
04

Evaluate Exponential Expression

Finally, compute the value of \(3^{6}\) which equals to 729.

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