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y7+8=22


(1 point)
Responses

y=30
y is equal to 30

y=2
y is equal to 2

y=7
y is equal to 7

y=98

1 answer

To solve the equation \( y^7 + 8 = 22 \), we start by isolating \( y^7 \):

  1. Subtract 8 from both sides: \[ y^7 = 22 - 8 \]

  2. Simplify: \[ y^7 = 14 \]

  3. Now, take the seventh root of both sides to solve for \( y \): \[ y = 14^{1/7} \]

This value does not correspond directly to any of the provided options (30, 2, 7, 98).

However, we can evaluate \( y \) approximately:

  • \( 14^{1/7} \) is approximately \( 1.64 \).

Given that 1.64 is closer to 2 than to any other option, we would select y is equal to 2 as the most reasonable approximation from your choices.