Question

40 if $2x = y^4$, then $2y^8$ is equal to ______.
a $2x^6$
b $8x$
c $8x^2$
d $2x^4$

Explanation:

Step1: Isolate $y^4$

From $2x = y^4$, we have $y^4 = 2x$.

Step2: Express $y^8$ as $(y^4)^2$

Substitute $y^4 = 2x$ into the expression:
$y^8 = (y^4)^2 = (2x)^2 = 4x^2$

Step3: Calculate $2y^8$

Multiply the result by 2:
$2y^8 = 2 \times 4x^2 = 8x^2$

Answer:

C. $8x^2$