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16 votes
Tried every app none have the answer please help

Tried every app none have the answer please help-example-1
User Skmvasu
by
7.6k points

2 Answers

9 votes

Answer:


3^(7)/(10) or
\sqrt[10]{3^7}

Explanation:


\left(√(3)\right)\left(\sqrt[5]{3}\right)=\sqrt[10]{3^7}\quad

(√3)(
\sqrt[5]{3}) = √3 ·
\sqrt[5]{3}

{√3 =
3^{(1)/(2)}} {radical rule:
√(x)=x^1^/^2}


\sqrt3
\sqrt[5]{3} =
3^{(1)/(2)} ·
\sqrt[5]{3}

{
\sqrt[5]{3} =
3^{(1)/(5)}} {radical rule:
\sqrt[n]{x} = x^1^/^n}


3^{(1)/(2)} ·
\sqrt[5]{3} =
3^{(1)/(2)} ·
3^{(1)/(5)} {exponent rule:
a^x*a^y=a^x^+^y}

(1/2 + 1/5 = 5/10 + 2/10 = 7/10)


=3^(7)/(10) {opposite of radical rule:
\sqrt[n]{x} = x^1^/^n ;
x^(a)/(b)=\sqrt[b]{x^a}}

=
\sqrt[10]{3^7}

so, the simplified version of this equation can either be written as:


3^(7)/(10) or
\sqrt[10]{3^7}

hope this helps!!

(I can't clearly see the last option, but if it's either of these, then it's correct)

User Akshay Bagade
by
7.5k points
11 votes

Answer:

opotion has not correct answer

answer is 15.

User Jan
by
7.8k points

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