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(2x^4y^-3)^-1
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User Mrutyunjay
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1 Answer

3 votes

Answer:

y^3/2x^4.

Explanation:

To simplify the expression (2x^4y^-3)^-1, we can use the property of negative exponents. When a term with a negative exponent is raised to the power of -1, it essentially becomes its reciprocal.

Let's break down the expression step-by-step:

1. Start with the given expression: (2x^4y^-3)^-1

2. Apply the negative exponent rule:

- The negative exponent rule states that any term with a negative exponent can be rewritten as its reciprocal with the exponent changed to positive.

- In this case, the term y^-3 becomes 1/y^3.

3. Simplify the expression:

(2x^4/y^3)^-1

4. Apply the reciprocal rule:

- When a term is raised to the power of -1, we can rewrite it as its reciprocal with the exponent changed to positive.

- So, (2x^4/y^3)^-1 becomes 1/(2x^4/y^3).

5. Simplify further:

1/(2x^4/y^3)

6. Apply the division rule:

- When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction.

- In this case, we have 1 divided by (2x^4/y^3). This can be rewritten as 1 times (y^3/2x^4).

7. Simplify the expression:

1 * (y^3/2x^4)

y^3/2x^4

So, the simplified expression for (2x^4y^-3)^-1 is y^3/2x^4.

User Gerobk
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