Dear student 152×123302=(3×5)2×22×33(15×2)2=32×52×26×3352×32×22=24×33=16×27=432Note:aman=am-nabn=anbn Regards

Answer the following

Dear student

\frac{15^{2} \times 12^{3}}{30^{2}} = \frac{(3 \times 5)^{2} \times {(2^{2} \times 3)}^{3}}{(15 \times 2)^{2}} = \frac{3^{2} \times 5^{2} \times 2^{6} \times 3^{3}}{5^{2} \times 3^{2} \times 2^{2}} = 2^{4} \times 3^{3} = 16 \times 27 = 432 Note : \frac{a^{m}}{a^{n}} = a^{m - n} {(ab)}^{n} = a^{n} b^{n}

Regards