Answered

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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].

Sagot :

GinnyAnswer
To evaluate the given expression [tex]\(\sqrt{x^4} - y^2\)[/tex] with [tex]\(x = 3\)[/tex] and [tex]\(y = -6\)[/tex], follow these steps:

1. Substitute the values of [tex]\(x\)[/tex] and [tex]\(y\)[/tex] into the expression:
[tex]\[ \sqrt{3^4} - (-6)^2 \][/tex]

2. Calculate [tex]\(3^4\)[/tex]:
[tex]\[ 3^4 = 3 \times 3 \times 3 \times 3 = 81 \][/tex]

3. Find the square root of 81:
[tex]\[ \sqrt{81} = 9 \][/tex]

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

5. Subtract [tex]\(36\)[/tex] from [tex]\(9\)[/tex]:
[tex]\[ 9 - 36 = -27 \][/tex]

Thus, 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].

The correct answer is:
[tex]\[ -27 \][/tex]
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