Question

simplify the expression ((v^{12})^{5}). write your answer using only positive exponents. the solution is \\(\square\\).

Explanation:

Step1: Identify the base and exponents

The expression is \((v^{12})^{5}\). Here, the base is \(v\), the inner exponent is \(12\), and the outer exponent is \(5\).

Step2: Apply the power - of - a - power rule

The power - of - a - power rule states that \((a^{m})^{n}=a^{m\times n}\), where \(a\) is the base, \(m\) is the inner exponent, and \(n\) is the outer exponent.
For the expression \((v^{12})^{5}\), using the power - of - a - power rule, we multiply the exponents: \(12\times5 = 60\).
So, \((v^{12})^{5}=v^{12\times5}=v^{60}\)

Answer:

\(v^{60}\)