How do you simplify #15^4/15# and write it using only positive exponents?

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Answer 1 · 2017-06-14T14:25:16

It is #15^3# or 3375

You can write your equation as

#=(15^3times15)/15#

15 in numerator and in denumerator is cancelled out: Hence,

#=15^3#

This is your answer

#15^3#

or

#=3375#

Answer 2 · 2017-06-14T14:25:18

See a solution process below:

We can use these two rules of exponents to simplify this expression:

#a = a^color(red)(1)# and #x^color(red)(a)/x^color(blue)(b) = x^(color(red)(a)-color(blue)(b))#

#15^4/15 => 15^color(red)(4)/15^color(blue)(1) => 15^(color(red)(4)-color(blue)(1)) => 15^3#

We can get the result of this expression by:

#15^3 => 15 * 15 * 15 => 225 * 15 => 3375#