If \( y^8 = 4 \) and \( y^7 = \frac{3}{x} \), what is the value of \( y \) in terms of \( x \)?

A. \(\frac{4x}{3}\)
B. \(\frac{3x}{4}\)
C. \(\frac{4}{x}\)
D. \(\frac{x}{4}\)
E. \(\frac{12}{x}\)

y^8 = 4 y^7 = 3/x
y(y^7) = 3/x(y) y^8 = 3y/x
3y/x = 4 3y = 4x y = 4x/3
Answer: (A)

Answered by iloveonedirection | 2024-06-10

The equation y 8 = 4 leads to the relation y = 4 1/8 , which when substituted into the second equation y 7 = x 3 ​ allows us to find a value for y in terms of x . Ultimately, this gives us the final expression for y as y = 3 4 x ​ . The chosen multiple choice option is A: 3 4 x ​ .
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Answered by iloveonedirection | 2025-02-03