How do you multiplying radical expression with different exponents $7^4sqrt(4a^3b) * 3sqrt(2a^2 b)$ ?

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Answer 1 · 2015-03-22T22:30:16

Note $sqrt(a) xx sqrt(b) = sqrt( a xx b)$
and $p sqrt(a) xx q sqrt(b) = pq sqrt(a xx b)$

So
$7^4 sqrt(4a^3b) * 3 sqrt(2a^2b)$
$= 3*7^4 sqrt(8a^5b^2)$
$=3*7^4*2a^2b sqrt(2a)$

How do you multiplying radical expression with different exponents 7^4sqrt(4a^3b) * 3sqrt(2a^2 b)7^4sqrt(4a^3b) * 3sqrt(2a^2 b)?