Answered

Type the correct answer in the box. Use numerals instead of words.

Consider this expression.
[tex]
\sqrt{x^4}-y^2
[/tex]

When [tex]x=3[/tex] and [tex]y=-6[/tex], the value of the expression is [tex]\square[/tex]



Answer :

GinnyAnswer
Let's evaluate the expression [tex]\(\sqrt{x^4} - y^2\)[/tex] step by step given the values [tex]\(x = 3\)[/tex] and [tex]\(y = -6\)[/tex].

1. Calculate [tex]\(x^4\)[/tex]:
[tex]\[ x^4 = 3^4 = 81 \][/tex]

2. Calculate [tex]\(\sqrt{x^4}\)[/tex]:
[tex]\[ \sqrt{x^4} = \sqrt{81} = 9 \][/tex]

3. Calculate [tex]\(y^2\)[/tex]:
[tex]\[ y^2 = (-6)^2 = 36 \][/tex]

4. Substitute these values into the expression [tex]\(\sqrt{x^4} - y^2\)[/tex]:
[tex]\[ \sqrt{81} - 36 = 9 - 36 = -27 \][/tex]

So the value of the expression [tex]\(\sqrt{x^4} - y^2\)[/tex] when [tex]\(x = 3\)[/tex] and [tex]\(y = -6\)[/tex] is [tex]\(-27\)[/tex].

[tex]\[ \boxed{-27} \][/tex]