for this case we must rewrite the following expression in algebraic form:
5 square root of x to the 7th power.
So, we have:
[tex]5 \sqrt {x ^ 7} =[/tex]
We can rewrite:
[tex]x ^ 7 = x ^ 6 * x[/tex]
By definition of properties of powers and roots we have:[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
So:
[tex]5 \sqrt {x ^ 6 * x} =\\5x ^ 3 \sqrt {x}[/tex]
Answer:
[tex]5x ^ 3 \sqrt {x}[/tex]
