Question

1. simplify the following expression $-(3^{3} cdot 3^{5})^{2}$

Explanation:

Step1: Use exponent rule \(a^m \cdot a^n = a^{m + n}\)

Inside the parentheses, we have \(3^3 \cdot 3^5\). Applying the rule, we get \(3^{3 + 5}=3^8\). So the expression becomes \(-(3^8)^2\).

Step2: Use exponent rule \((a^m)^n = a^{m \cdot n}\)

Applying this rule to \((3^8)^2\), we have \(3^{8 \cdot 2}=3^{16}\). So the simplified expression is \(-3^{16}\).

Answer:

\(-3^{16}\)