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 Hi! I was just wondering, how do you write the squared root of 7x(to the 5th) in exponential form? If you could help explain that I'd be grateful. Thanks Cassia

Hello. I believe you question looks something like this

When we are given questions with square roots we have to remember a little rhyme. “The number the denominator goes in the notch” Basically what that means is the number that is in the notch of the root sign becomes a fraction exponent, in our case 1/2. That may be confusing so let’s look at the example If we want to put something like this into exponential form we first want to get rid of the root sign and make it into a fractional exponent. So doing that we turn the root into the fraction ½ and make that into an exponent.

then from here we want to simplify the exponents. Since we have one exponent raised to another we just need to multiply them getting . This would then be the exponential form of We can even take it one step further and evaluate

Hope this helps,

Brennan Yaremko

Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.