How do you multiply 7th root of m raise to 4 times the 14th root of m raise to 9?

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Answer 1 · 2018-06-20T08:34:38

#color(indigo)(=> (m)^(17/14)#

#(root7 (m))^4 * (root14 (m))^9#

![https://revisionmaths.com/advanced-level-maths-revision/pure-maths/algebra/indices]( useruploads.socratic.org )

Applying the theory of indices,

#=> ((m^4)^(1/7) * ((m^9)^(1/14))#

#=>. (m)^(4/7) * (m)^(9/14)#

#=> (m)^ (4/7 + 9/14)#

#=> (m)^((8 + 9)/14)#

#color(indigo)(=> (m)^(17/14)#