Question

simplify the expression using the rules for exponents
(ab^2c^4)^3 / (a^2b^-4c^2)^-5

please help !

Answer 1

Power to a power you multiply so
\[a ^{3} b ^{6}c ^{12} \div a ^{-10}b ^{20}c ^{-10}\]

When exponents are divided, you subtract the numbers
\[a ^{13}c ^{22} \div b ^{14}\]