# How do you evaluate and simplify #(120^(-2/5)*120^(2/5))/7^(-3/4)#?

See a solution process below:

First, use these rules of exponents to simplify the numerator:

Next, we will use this rule to rewrite the expression:

Then, we can rewrite the expression as:

Now, we can use this rule of exponents to continue the simplification:

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To evaluate and simplify ( \left(120^{-2/5} \times 120^{2/5}\right) \div 7^{-3/4} ), you can follow these steps:

- Use the properties of exponents to combine the terms inside the parentheses.
- Simplify each term raised to a power.
- Combine the terms and simplify further if possible.

Let's break it down:

[ \left(120^{-2/5} \times 120^{2/5}\right) \div 7^{-3/4} ]

[ = 120^{(-2/5 + 2/5)} \div 7^{-3/4} ]

[ = 120^{0} \div 7^{-3/4} ]

[ = 1 \div (7^{-3/4}) ]

[ = 7^{3/4} ]

[ = \sqrt[4]{7^3} ]

[ = \sqrt[4]{343} ]

So, ( \left(120^{-2/5} \times 120^{2/5}\right) \div 7^{-3/4} ) simplifies to ( \sqrt[4]{343} ).

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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.

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