Simplified Expression Calculation
The expression given in the image is: \((x^2y^5 ÷ y^0)^2\)
Firstly, let's simplify the expression inside the parentheses. Any nonzero number raised to the power of 0 is 1, which means \(y^0 = 1\). Therefore, our expression becomes:
\((x^2y^5 ÷ 1)^2\)
Since dividing by 1 does not change the value of the expression, we have:
\((x^2y^5)^2\)
Next, when you raise a power to another power, you multiply the exponents. Here's how to break it down:
\((x^2)^2 * (y^5)^2\)
Now calculate each term:
\(x^2\) raised to the 2nd power is \(x^{2*2}\) which is \(x^4\), and
\(y^5\) raised to the 2nd power is \(y^{5*2}\) which is \(y^{10}\).
So after combining them, you get:
\(x^4y^{10}\)
This is the simplified form of the original expression.
