75.8k views
4 votes
Simplify. Write the answer using positive exponents only (6x^(5)y^(3))^(-2)(7x^(4)y^(9))

1 Answer

7 votes

Final answer:

To simplify the expression (6x^5y^3)^(-2)(7x^4y^9), distribute the exponent -2 to each term inside the parentheses and simplify the expression by combining like terms. The simplified expression is 7/(36x^6y^-6).

Step-by-step explanation:

To simplify the expression (6x5y3)-2(7x4y9), we need to distribute the exponent -2 to each term inside the parentheses. This will result in 6-2x5*-2y3*-2 multiplied by 7x4y9. Simplifying further, we get 1/(62x10y6) multiplied by 7x4y9. Combining the terms, we have 7x4y9/(62x10y6), which can be further simplified as 7/(36x6y-6).

User Suraj Bahadur
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories