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QUESTION IMAGE

rewrite using a single exponent.\\(\\left(3^{5}\ ight)^{6}\\)

Question

rewrite using a single exponent.\\(\left(3^{5}\
ight)^{6}\\)

Explanation:

Step1: Apply power of a power rule

The rule for raising a power to a power is $(a^m)^n = a^{m \times n}$. For $(3^5)^6$, $a=3$, $m=5$, $n=6$.

Step2: Calculate the new exponent

Multiply the exponents: $5 \times 6 = 30$

Answer:

$3^{30}$