How do you simplify #14^6 \div 14^4#?

Question

840 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-04T21:50:32

See a solution process below:

First, rewrite the expression as:

#14^6/14^4#

Next, use this rule of exponents to eliminate the fraction:

#x^color(red)(a)/x^color(blue)(b) = x^(color(red)(a)-color(blue)(b))#

#14^color(red)(6)/14^color(blue)(4) = 14^(color(red)(6)-color(blue)(4)) = 14^2#

Now, square 14 giving:

#14^2 = 14 * 14 = 196#