How do you simplify #7x^3y^2*5xy^9# and write it using only positive exponents?

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Answer 1 · 2017-01-25T15:06:44

See the entire simplification process below:

First, rewrite the expression to group like terms together:

#(7 xx 5)(x^3 xx x)(y^2 xx y^9)#

Next, use these two rules for exponents to simplify the expression:

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

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

The expression then transforms as:

#(7 xx 5)(x^3 xx x^color(red)(1))(y^2 xx y^9)#

#35x^(3+1)y^(2+9)#

#35x^4y^11#

Because the exponents are already positive there is no need for any more simplification.