What is $(25 xx 5)^(1/3)$ ?

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Answer 1 · 2017-03-29T04:13:51

$(5xx5xx5)^(1/3)=5$

I'm reading this as

$(25xx5)^(1/3)$

We can rewrite this as:

$(5xx5xx5)^(1/3)$

Remember that just as with, say $sqrt4=4^(1/2)=(2xx2)^(1/2)=2$ , we can do the same thing here with the cube root:

$(5xx5xx5)^(1/3)=5$

Answer 2 · 2017-03-29T04:20:07

$5$

Expression $=(25 xx 5)^(1/3) =root3 (125)$

In solving roots of integers it is often useful to express the integer as the product of its prime factors.

Here: $125 = 5xx5xx5$

So: $root3 125 = root3 (5 xx 5 xx 5)$

Since $5$ occurs three times we may take it through the root sign.

Hence: $root3 125 =5$

What is (25 xx 5)^(1/3)(25 xx 5)^(1/3)?