How do you simplify $(x ^ { 7} y ^ { 7} ) ( x y ^ { 8} ) ^ { 8}$ ?

Question

1149 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-10-19T04:26:24

$x^15y^71$

$x^mx^n = x(m+n)$
$(x^m)^n = x^(mn)$
$(x^mx^-n) = (x^m/x^n) = x^(m-n)$
$(x^m)^(1/n) = x^(m/n)$
$(x^m)^-n = 1/x^(mn)$

$(x^7y^7)(xy^8)^8 = (x^7y^7x^8y^64) = x^15y^71$

How do you simplify (x ^ { 7} y ^ { 7} ) ( x y ^ { 8} ) ^ { 8}(x ^ { 7} y ^ { 7} ) ( x y ^ { 8} ) ^ { 8}?