Question

rewrite using a single positive exponent. \\((3^{-6})^{-5}\\)

Explanation:

Step1: Apply power of a power rule

When raising a power to a power, multiply exponents: $(a^m)^n = a^{m \times n}$
So, $(3^{-6})^{-5} = 3^{(-6) \times (-5)}$

Step2: Calculate the new exponent

Multiply the two negative numbers: $(-6) \times (-5) = 30$
Thus, $3^{(-6) \times (-5)} = 3^{30}$

Answer:

$3^{30}$