For this case we must write algebraically the following expression:
"four square root x to the fifth"
We have to:
square root x is represented as: [tex]\sqrt {x}[/tex]
Then, the expression will be:
[tex]4 \sqrt {x ^ 5}[/tex]
Equivalently, according to the property of powers and roots:
[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
We have:
[tex]4x ^ {\frac {5} {2}}[/tex]
ANswer:
[tex]4 \sqrt {x ^ 5}\\4x ^ {\frac {5} {2}}[/tex]
Answer:
[tex]x^{\frac{5}{4}}[/tex]
Step-by-step explanation:
We are asked to rewrite the radical expression as an expression with rational exponents.
[tex]\sqrt[4]{x^5}[/tex]
Using exponent property [tex]\sqrt[n]{a^m}=a^{\frac{m}{n}}[/tex], we can rewrite our given expression as:
[tex]\sqrt[4]{x^5}=x^{\frac{5}{4}}[/tex]
Therefore, our required expression would be [tex]x^{\frac{5}{4}}[/tex].
