Question - Simplified Expression Calculation
Solution:
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.
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