To simplify the expression (3a^5b^4c^5)^2 * (2a^5b^4c^4)^3, follow these steps:

Step 1: Apply the power of a power rule (a^(m*n) = (a^m)^n) to each term inside the parentheses.

(3a^5b^4c^5)^2 = 9a^10b^8c^10
(2a^5b^4c^4)^3 = 8a^15b^12c^12

Step 2: Multiply the results from step 1.

9a^10b^8c^10 * 8a^15b^12c^12 = 72a^25b^20c^22

So, (3a^5b^4c^5)^2 * (2a^5b^4c^4)^3 simplifies to 72a^25b^20c^22.

Question

To simplify the expression (3a^5b^4c^5)^2 * (2a^5b^4c^4)^3, follow these steps:

Step 1: Apply the power of a power rule (a^(m*n) = (a^m)^n) to each term inside the parentheses.

(3a^5b^4c^5)^2 = 9a^10b^8c^10
(2a^5b^4c^4)^3 = 8a^15b^12c^12

Step 2: Multiply the results from step 1.

9a^10b^8c^10 * 8a^15b^12c^12 = 72a^25b^20c^22

So, (3a^5b^4c^5)^2 * (2a^5b^4c^4)^3 simplifies to 72a^25b^20c^22.

Knowee AI · Accepted Answer

To simplify the expression (3a^5b^4c^5)^2 * (2a^5b^4c^4)^3, follow these steps:

Step 1: Apply the power of a power rule (a^(m*n) = (a^m)^n) to each term inside the parentheses.

(3a^5b^4c^5)^2 = 9a^10b^8c^10
(2a^5b^4c^4)^3 = 8a^15b^12c^12

Step 2: Multiply the results from step 1.

9a^10b^8c^10 * 8a^15b^12c^12 = 72a^25b^20c^22

So, (3a^5b^4c^5)^2 * (2a^5b^4c^4)^3 simplifies to 72a^25b^20c^22.

Simplify the expression (3a5b4c5)2(2a5b4c4)3