√6:(64x^9y^9z^15)

simplify the expression
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1 Answer

The ratio is the same as the fraction √6/(64x9y9z15).

64=26, so 64x9y9z15=26x9y9z15=(22x3y3z5)3=(4x3y3z5)3.

One simplification is therefore:

√6:(4x3y3z5)3, or √6:(4(xy)3z5)3.

[We could take this further because √6=6/√6 making the ratio:

6:(4(xy)3z5)3√6, which doesn't look simpler. Also 43√6=43¼√3, but that also looks more complicated.]

by Top Rated User (1.2m points)

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