How do you write #4a^0*7a^-4# using only positive exponents?

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Answer 1 · 2018-03-28T18:21:40

See a solution process below:

First, use this rule of exponents to simplify the term on the left:

#a^color(red)(0) = 1#

#4a^color(red)(0) * 7a^-4 =>#

#(4 * 1) * 7a^-4 =>#

#4 * 7a^-4 =>#

#28a^-4#

To eliminate the negative exponent use this rule for exponents:

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

#28a^color(red)(-4) =>#

#28/a^color(red)(- -4) =>#

#28/a^color(red)(4)#