How do you simplify #\frac { ( 2x ^ { 4} y ^ { 5} ) ^ { - 2} } { 1x ^ { 3} y ^ { 5} }#?

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Answer 1 · 2017-04-05T21:44:28

Put the numerator into the denominator since it is a negative exponent. The remove the parentheses and combine like terms.
#1/(4x^11y^15)#

negative exponent means to divide so put the numerator into the denominator this gives.

# 1/{1x^3y^5 xx (2x^4y^5)^2}#

#(2x^4y^5)^2 = 4 x^8y^10" "# putting this into the expression gives

# 1/(1x^3y^5xx 4x^8y^10)" "# This results in

# 1/(1xx 4 xx x^3 xx x^8 xx y^5 xx y^10 )= 1/(4 x^11y^15)#

The answer is

#1/(4x^11y^15)#