Question

which expression is equivalent to: $(6x^{2}y^{3})^{2}$
○ $6x^{4}y^{6}$
○ $12x^{4}y^{6}$
○ $36x^{4}y^{5}$
○ $36x^{4}y^{6}$

Explanation:

Step1: Apply power to constant

$(6)^2 = 36$

Step2: Apply power to $x$-term

$(x^2)^2 = x^{2\times2}=x^4$

Step3: Apply power to $y$-term

$(y^3)^2 = y^{3\times2}=y^6$

Step4: Combine all terms

$36 \times x^4 \times y^6$

Answer:

$\boldsymbol{36x^4y^6}$ (Option: $\boldsymbol{36x^4y^6}$)