Simplify :
((-5xy)^2)^5
I got 9765625x^10y^10
I don't that is correct..
To simplify the given expression (((-5xy)^2)^5), let's break it down step by step.
Step 1: Simplify the innermost exponent, (-5xy)^2:
To do this, we square each term inside the parentheses:
((-5)^2 * (x^2) * (y^2))
Simplifying the terms inside the parentheses, we get:
(25x^2y^2)
Step 2: Now, we have (25x^2y^2) raised to the power of 5:
To simplify further, we apply the power of 5 to each term:
(25^5 * x^(2*5) * y^(2*5))
Simplifying the terms, we get:
(9765625 * x^10 * y^10)
Therefore, the simplified form of the expression (((-5xy)^2)^5) is 9765625x^10y^10.
It appears that your initial answer was indeed correct.