Simplifysquare root of 3 multiplied by the fifth root of 3. 3 to the power of 1 over 10 3 to the power of 3 over 5 3 to the power of 9 over 10 3 to the power of 7 over 10
Please help!
@phi
Hi, could you please help @phi
I think it could be C
can you write both numbers using exponents?
I will try
(square root 3) (*5 square root 3)
You should learn that \[ \sqrt{x} = x^\frac{1}{2} \]
I dont know it wont let me
the fifth root of 3 means you can write 3 with an exponent of 1/5 follow ?
Yes
So then what would I do with the other three, the one without the xponent?
to answer the question write the numbers as 3^(1/2) * 3^(1/5)
Thank you soo much!
and use the rule \[ a^b \cdot a^c = a^{b+c} \]
can you add 1/2 + 1/5 ? what do you get ?
would it be 7/10?
Hello?
or .7
yes. so the answer is 3^(7/10)
Oh thank you so so much!
yes 3^0.7 is also correct. But as you see they gave you the choice of 3^(7/10) which means the same thing.
Thank you!
so to answer, learn that sqrt(x) is the same as x^(1/2) and "fifth root" means x^(1/5) and when we multiply the same base , we can add the exponents
Oh ok, I will keep that in mind
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