How do you simplify #(a^4)^-5 * a^13#?
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To simplify (a^4)^-5 * a^13, use the properties of exponents. When raising a power to another power, multiply the exponents. Therefore, (a^4)^-5 simplifies to a^(4 * -5) = a^(-20). Then, multiply a^(-20) by a^13 by adding the exponents, resulting in a^(-20 + 13) = a^(-7). So, the simplified expression is a^(-7).
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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.
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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