Question

Find the product. (0.5n^5)^2(10n^7)^3

Answer 1

Step-by-step explanation:

$(0.5 {n}^{5} )^{2} (10 {n}^{7} )^{3} \\ = (0.5)^{2} {n}^{5 \times 2} \times {10}^{3} {n}^{7 \times 3} \\ = 0.25 {n}^{10} \times 1000 {n}^{21} \\ = (0.25 \times 1000){n}^{21 + 10} \\ \purple{ \boxed{ \bold{ (0.5 {n}^{5} )^{2} (10 {n}^{7} )^{3} = 250{n}^{31}}}}$