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What is the value of
y^(2)-x^(4) when
y=8 and
x=2 ?

What is the value of $y^{2}-x^{4}$ when $y=8$ and $x=2$ ?

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Unions and intersections of sets

Full solution

Q. What is the value of

y^{2}-x^{4}

when

y=8

and

x=2

?

Given Values: We are given: $\newline$ $y = 8$ $\newline$ $x = 2$ $\newline$ Expression = $y^{2} - x^{4}$ $\newline$ Identify the expression after substituting the value of $y$ and $x$ . $\newline$ Substitute $8$ for $y$ and $2$ for $x$ in $y^{2} - x^{4}$ . $\newline$ $x = 2$ $0$
Calculate $8^{2}$ : Calculate the value of $8^{2}$ . $8^{2} = 8 \times 8 = 64$
Calculate $2^{4}$ : Calculate the value of $2^{4}$ . $2^{4} = 2 \times 2 \times 2 \times 2 = 16$
Subtract Values: Subtract the value of $2^{4}$ from the value of $8^{2}$ . $\newline$ $64 - 16$ $\newline$ $= 48$

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