Question

Express the following fraction in simplest form, only using positive exponents. 10n over 2(n^-3)4

Answer 1

=10^n/ 2(n^-3)^4

Then

Separate n therms

apply distributive rule a^b^c = a^(b•c)

= 10 n / 2(n^ (-3•4))

= 10n / 2(n^-12)

Now apply rule a^n/a^m= a^(n-m)

= (1/2)• (10• n^(1- -12) )

= (1/2)• (10• (n^ '13) )

= 5• n^13

Then answer is 5• n^13