Question

$(-3x^{6})^{4}(5x^{3})$

Explanation:

Step1: Expand the power of monomial

$(-3x^6)^4 = (-3)^4 \cdot (x^6)^4 = 81x^{24}$

Step2: Multiply by the second monomial

$81x^{24} \cdot 5x^3 = (81 \times 5) \cdot (x^{24} \cdot x^3)$

Step3: Simplify coefficients and exponents

$405x^{24+3} = 405x^{27}$

Answer:

$405x^{27}$