Question

simplify the expression: $-5x^{5} \cdot 2x^{10}y^{4} \cdot 3yLXB0\bigcirc x^{15}y^{5}LXB1\bigcirc -30x^{15}y^{5}$

Explanation:

Step1: Multiply the coefficients

$(-5) \times 2 \times 3 = -30$

Step2: Combine $x$-terms (add exponents)

$x^5 \times x^{10} = x^{5+10} = x^{15}$

Step3: Combine $y$-terms (add exponents)

$y^4 \times y = y^{4+1} = y^5$

Step4: Combine all parts

$-30 \times x^{15} \times y^5$

Answer:

$\boldsymbol{-30x^{15}y^5}$ (Option: $\boldsymbol{-30x^{15}y^5}$)