Question

1. solve.

$(p^3)^5$
$p^{-2}$ -- hollywood
$p^8$ -- mars
$p^{243}$ -- hawaii
$p^{15}$ -- antarctica

Explanation:

Step1: Recall exponent rule

When raising a power to a power, we multiply the exponents. The formula is \((a^m)^n = a^{m\times n}\).

Step2: Apply the rule to \((p^3)^5\)

Here, \(a = p\), \(m = 3\), and \(n = 5\). So we calculate \(3\times5 = 15\), which gives us \(p^{15}\).

Answer:

\(p^{15}\) - Antarctica