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what is the value of $\dfrac{x^2}{y^4}$ when $x=8$ and $y=2$

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Write and solve direct variation equations

Full solution

Q. what is the value of

\dfrac{x^2}{y^4}

when

x=8

and

y=2

Identify Given Values: Identify the given values and the expression to evaluate. $\newline$ We are given $x=8$ and $y=2$ , and we need to evaluate the expression $\dfrac{x^2}{y^4}$ .
Substitute Given Values: Substitute the given values into the expression. $\newline$ Substitute $x=8$ and $y=2$ into the expression $\dfrac{x^2}{y^4}$ to get $\dfrac{8^2}{2^4}$ .
Calculate Numerator: Calculate the numerator $x^2$ . $\newline$ Calculate $8^2$ which equals $64$ .
Calculate Denominator: Calculate the denominator $y^4$ . $\newline$ Calculate $2^4$ which equals $16$ .
Divide Numerator by Denominator: Divide the numerator by the denominator. $\newline$ Divide $64$ by $16$ to get $\dfrac{64}{16}$ .
Simplify Fraction: Simplify the fraction. $\newline$ Simplify $\dfrac{64}{16}$ to get $4$ .

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