# How do you write # 3x^0 div y^-3# with positive exponents?

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See a solution process below:

First, reword the sentence as follows:

Next, remove the negative exponent by applying the exponents rule:

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To write (3x^0 \div y^{-3}) with positive exponents, use the property that any non-zero number raised to the power of zero is equal to 1, and move the term with negative exponent to the numerator:

[3x^0 \div y^{-3} = 3 \times \frac{1}{y^{-3}}]

[= 3 \times y^3]

So, the expression written with positive exponents is (3y^3).

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To rewrite (3x^0 \div y^{-3}) with positive exponents, we apply the properties of exponents:

[3x^0 \div y^{-3}]

Since any non-zero number raised to the power of zero equals 1, (x^0 = 1). Therefore:

[3 \times 1 \div y^{-3}]

[3 \div y^{-3}]

To turn (y^{-3}) into a positive exponent, we move it to the numerator and change the sign of the exponent:

[3 \times y^3]

So, (3x^0 \div y^{-3}) with positive exponents is (3y^3).

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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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