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.