# How do you simplify #sqrt2^109 * sqrtx^306 * sqrtx^11#?

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To simplify the expression sqrt(2)^109 * sqrt(x)^306 * sqrt(x)^11, we can use the properties of exponents and square roots.

First, let's simplify the exponents: sqrt(2)^109 = 2^(109/2) sqrt(x)^306 = x^(306/2) sqrt(x)^11 = x^(11/2)

Now, let's multiply the exponents: 2^(109/2) * x^(306/2) * x^(11/2)

To simplify further, we can add the exponents: 2^(109/2) * x^((306/2) + (11/2))

Simplifying the exponents: 2^(109/2) * x^(317/2)

Therefore, the simplified expression is sqrt(2)^109 * sqrt(x)^306 * sqrt(x)^11 = 2^(109/2) * x^(317/2).

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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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