How do you simplify #(m^7)^4*m^3# and write it using only positive exponents?

1 Answer
smendyka
Mar 2, 2017

See the entire simplification process below:

Explanation:

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

#(x^color(red)(a))^color(blue)(b) = x^(color(red)(a)xxcolor(blue)(b))#

#(m^color(red)(7))^color(blue)(4)m^3 = m^(color(red)(7)xxcolor(blue)(4))m^3 = m^28m^3#

Now, use this rule of exponents to complete the simplification:

#x^color(red)(a)x^color(blue)(b) = x^(color(red)(a)+color(blue)(b))#

#m^color(red)(28)m^color(blue)(3) = m^(color(red)(28)+color(blue)(3)) = m^31#

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