Question

Find the product

(0.5 n^5 ) ^2 (10 n^7 ) ^3

Answer 1

`(0.5n^(5))^2 \cdot (10n^(7))^(3) = 0.5^(2) \cdot n^(10)  \cdot 1000n^(21) = ((1)/(2))^(2) \cdot n^(10) \cdot 1000n^(21) = (1)/(4)n^(10) \cdot 1000n^(21) = n^(10) \cdot 250n^(21) = 250n^(31).`