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What is the value of
x^(6)+y^(2) when
x=1 and
y=9 ?

What is the value of $x^{6}+y^{2}$ when $x=1$ and $y=9$ ?

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Unions and intersections of sets

Full solution

Q. What is the value of

x^{6}+y^{2}

when

x=1

and

y=9

?

Given Values: We are given: $\newline$ $x = 1$ $\newline$ $y = 9$ $\newline$ Expression = $x^{6} + y^{2}$ $\newline$ Identify the expression after substituting the value of $x$ and $y$ . $\newline$ Substitute $1$ for $x$ and $9$ for $y$ in $x^{6} + y^{2}$ . $\newline$ $y = 9$ $0$
Identify Expression: Calculate $1^{6}$ . $\newline$ Since any non-zero number raised to the power of $6$ is itself, we have: $\newline$ $1^{6} = 1$
Calculate $1^{6}$ : Calculate $9^{2}$ . $9$ squared is $81$ , so we have: $9^{2} = 81$
Calculate $9^{2}$ : Add the results from the previous steps. $\newline$ $1 + 81 = 82$

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