Question

Rewrite the radical expression as an expression with rational exponents.

5 square root of x to the 7th power

Answer 1

Hello!

5 √ x^7

(^7) means smaller 7 exponent

Hope I helped!

~ Destiny ^_^

Answer 2

for this case we must rewrite the following expression in algebraic form:

5 square root of x to the 7th power.

So, we have:

`5 \sqrt {x ^ 7} =`

We can rewrite:

`x ^ 7 = x ^ 6 * x`

By definition of properties of powers and roots we have:
`\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}`

So:

`5 \sqrt {x ^ 6 * x} =\\5x ^ 3 \sqrt {x}`

Answer:

`5x ^ 3 \sqrt {x}`