Question

basic exponent rules
this is the only question in this section.
question
simplify to a single power of 5:
$(5^{2})^{5}$
answer attempt 1 out of 5
answer: $5^{square}$

Explanation:

Step1: Apply power - of - a - power rule

The power - of - a - power rule states that $(a^m)^n=a^{m\times n}$. Here $a = 5$, $m = 2$ and $n = 5$. So, $(5^2)^5=5^{2\times5}$.

Step2: Calculate the exponent

$2\times5 = 10$. So, $5^{2\times5}=5^{10}$.

Answer:

$5^{10}$