Question

simplify.
$(v^{4})^{2}$
write your answer without parentheses.

Explanation:

Step1: Apply power of a power rule

When raising a power to a power, we multiply the exponents. The formula is \((a^m)^n = a^{m\times n}\). Here, \(a = v\), \(m = 4\), and \(n = 2\). So we calculate \(4\times2\).
\((v^4)^2 = v^{4\times2}\)

Step2: Calculate the exponent

Multiply 4 and 2: \(4\times2 = 8\). So the expression simplifies to \(v^8\).

Answer:

\(v^8\)