# How do you evaluate #\sqrt[9](x-3)\cdot \sqrt[9]((x-3)^{7})#?

See a solution process below:

Next, rewrite the expression as:

By signing up, you agree to our Terms of Service and Privacy Policy

To evaluate (\sqrt[9]{(x-3)} \cdot \sqrt[9]{(x-3)^7}), you can simplify by combining the two radical terms:

(\sqrt[9]{(x-3)} \cdot \sqrt[9]{(x-3)^7} = \sqrt[9]{(x-3) \cdot (x-3)^7})

Using the properties of exponents, we can combine the terms inside the radical:

(\sqrt[9]{(x-3) \cdot (x-3)^7} = \sqrt[9]{(x-3)^8})

Now, apply the exponent rule for roots:

(\sqrt[9]{(x-3)^8} = (x-3)^{\frac{8}{9}})

Therefore, the simplified expression is ((x-3)^{\frac{8}{9}}).

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7