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Simplify to a single power of 3 :

(3^(5))^(3)
Answer: 3^◻

Simplify to a single power of $3$ : $\newline$ $\left(3^{5}\right)^{3}$ $\newline$ Answer: $3 ^\square$

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Evaluate rational exponents

Full solution

Q. Simplify to a single power of

3

:

\newline

\left(3^{5}\right)^{3}

\newline

Answer:

3 ^\square

Identify base and exponents: Identify the base and the exponents in the expression $(3^{5})^{3}$ . $\newline$ In $(3^{5})^{3}$ , the base is $3$ , the first exponent is $5$ , and the second exponent is $3$ .
Apply power of power rule: Apply the power of a power rule, which states that a^m)^n = a^{m*n}\. \(\(3^{ $5$ })^{ $3$ } = $3$ ^{ $5$ * $3$ }\
Multiply exponents: Multiply the exponents to simplify the expression. $3^{5\times3} = 3^{15}$

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