# Simplify (x^-5+y^-5)/(x^-4+y^-4) Simplify the numerator.
Rewrite the expression using the negative exponent rule .
Rewrite the expression using the negative exponent rule .
To write as a fraction with a common denominator, multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Multiply and .
Multiply and .
Reorder the factors of .
Combine the numerators over the common denominator.
Simplify the denominator.
Rewrite the expression using the negative exponent rule .
Rewrite the expression using the negative exponent rule .
To write as a fraction with a common denominator, multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Multiply and .
Multiply and .
Reorder the factors of .
Combine the numerators over the common denominator.
Multiply the numerator by the reciprocal of the denominator.
Cancel the common factor of .
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply and .
Simplify (x^-5+y^-5)/(x^-4+y^-4)