Question

3 $(-3)^4 cdot (-3)^3$

Explanation:

Step1: Apply exponent product rule

When multiplying terms with the same base, add exponents: $a^m \cdot a^n = a^{m+n}$.
$(-3)^4 \cdot (-3)^3 = (-3)^{4+3}$

Step2: Calculate sum of exponents

Simplify the exponent value.
$(-3)^{4+3} = (-3)^7$

Step3: Compute the final power

Calculate the value of the negative base raised to the odd exponent.
$(-3)^7 = -3^7 = -2187$

Answer:

$-2187$