Help please-I'm totally lost-

How would I simplify (2x^5 y^4 z^3/x^-1 y^5 z^5)^-1

Thank you for any help you can give me-I'm so stuck for my homeowrk tonight. I know I can bring up the negatives to top and negative to bottom to make them positive but besides that-I don't get it

No problem! I can help you simplify the expression. To simplify fractions with exponents, we can follow these steps:

Step 1: Bring the negative exponents to the opposite position.
Step 2: Combine like terms.
Step 3: Simplify any remaining fractions.

Let's apply these steps to the given expression:

(2x^5 y^4 z^3/x^-1 y^5 z^5)^-1

Step 1: To bring the exponents from the denominator to the numerator, you can rewrite the expression as:

= (2x^5 y^4 z^3 * x^1 y^-5 z^-5)

Step 2: Now, we can combine like terms (multiply the coefficients and add the exponents):

= 2x^6 y^-1 z^-2

Step 3: Finally, simplify any remaining fraction by moving the negative exponent to the denominator and making it positive:

= 2x^6 / (y^1 z^2)

So, the simplified expression is 2x^6 / yz^2.

Remember, when simplifying fractions with exponents, it is essential to combine like terms and move negative exponents to the opposite position to simplify the expression further.