MATH SOLVE

4 months ago

Q:
# Which is equivalent to 5 Square root of 1215^x

Accepted Solution

A:

Answer: [tex](3\sqrt[5]{5} )^{x}[/tex]Step-by-step explanation:Given that[tex]\sqrt[5]{1215^{x} }[/tex]=> [tex]1215^{\frac{x}{5} }[/tex] Using radical rule=> [tex](3*3*3*3*3*5)^{\frac{x}{5} }[/tex]=> [tex](3^{5} * 5 )^{\frac{x}{5} }[/tex]=> [tex](3^{5*\frac{1}{5} } * 5 )^{x}[/tex]=> [tex](3*5^{\frac{1}{5} } )^{x}[/tex]=> [tex](3\sqrt[5]{5} )^{x}[/tex]