How do you simplify $m^3sqrtm$ and write it in exponential form?

Question

2120 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-01-07T22:41:41

$m^(7/2)$

We can move $m^3$ under $sqrt()$

$m^3sqrt(m)=sqrt((m^3)^2*m)=sqrt(m^6*m)=sqrt(m^7)=m^(7/2)$

remembering that:

$a^p*a^q=a^(p+q)$

$(a^p)^q=a^(p*q)$

$root(b)(a^n)=a^(n/b)$

alternatively:

$m^3sqrt(m)=m^3m^(1/2)=m^(3+1/2)=m^((3*2+1)/2)=m^((6+1)/2)=m^(7/2)$

How do you simplify m^3sqrtmm^3sqrtm and write it in exponential form?