Question

Which expression is equivalent to ( 4mn / m^-2n^6)^-2a. n^6 / 16m^8b. n^10 / 16m^6c. n^10 / 8m^8d. 4m^3 / n^8?

Answer 1

`\huge{(} \small{\frac{4mn}{ {m}^( - 2) {n}^(6) }} \huge{) } \small{{}^{ {}^{ {}^{ {}^( - 2) } } } }\\ \\ \\ \huge{(} \small{ \frac{4 * m {}^(1) * n {}^(1) }{ {m}^( - 2) * {n}^(6) }} \huge{)} \small{^{ {}^{ {}^{ {}^( - 2) } } }} \\ \\ \\ \huge{(} \small{4 * {m}^(1 - ( - 2)) * {n}^(1 - 6)} \huge{)} \small{ {}^{ {}^{ {}^{ {}^( - 2) } } } } \\ \\ \\ \huge{(} \small{ 4 * {m}^(1 + 2) * {n}^( - 5) } \huge{)} \small{ { }^{ {}^{ {}^{ {}^( - 2) } } } } \\ \\ \\ \small{ {(4)}^( - 2) * ({m}^(3) ) ^( - 2) * {(n{}^( - 5) )}^( - 2) } \\ \\ \\ \frac{1}{ {4}^(2) } * {m}^( - 6) * {n}^( 10) \\ \\ \\ (1)/(16) * \frac{1}{ {m}^(6) } * {n}^(10) \\ \\ \\ \frac{ {n}^(10) }{16{m}^(6) }`








`image`