introduction to the power of a power rule w\nrewrite using a single exponent.\n\\((5^6)^3\\)

introduction to the power of a power rule w\nrewrite using a single exponent.\n\\((5^6)^3\\)

introduction to the power of a power rule w\nrewrite using a single exponent.\n\\((5^6)^3\\)

Answer

Explanation:

Step1: Apply power of a power rule

The power of a power rule states that $(a^m)^n = a^{m \times n}$. For $(5^6)^3$, set $a=5$, $m=6$, $n=3$.

Step2: Calculate the new exponent

Multiply the exponents: $6 \times 3 = 18$

Answer:

$5^{18}$