SOLUTION: write in exponential form and simplify 3sqrta times 5sqrta the 3 and 5 are small just outside the root symbol. please help i have no idea how to do this.
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Question 285144: write in exponential form and simplify 3sqrta times 5sqrta the 3 and 5 are small just outside the root symbol. please help i have no idea how to do this.
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
If the expression is
then these are not square roots. The first one is a 3rd root (aka cube root). It represents whatever you cube to get "a". And the second one is a 5th root (what ever you raise to the 5th power to get "a").
To simplify this expression, you do what it says: "write in exponential form." Any radical can be rewritten using fractional exponents:
etc.
Rewriting your radcials with fractional exponents we get:
And the rule for exponents when multiplying like this is to add the exponents. This gives us:
To add the exponents, which are fractions, we need a common denominator:
This may be an acceptable answer. But if you want to rewrite this back in radical form:
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