Question

what is the simplified form of 5 square root x^4 • 5 square root x^4

Answer 1

Answer: C

Step-by-step explanation:

You can write each term into a fraction.

$\sqrt[5]{x^4}$ becomes $x^4^/^5$

When you multiply 2 terms with the same base, you add the exponents.

$x^4^/^5*x^4^/^5=x^4^/^5^+^4^/^5=x^8^/^5$

$x^8^/^5$ is also the same as $x\sqrt[5]{x^3}$

You get this because $\sqrt[5]{x^8} =\sqrt[5]{x*x*x*x*x*x*x*x}$. When you pull out 5 os x, you are left with x³ on the inside.