Question

Solve for y. Simplify your answer as much as possible.
4=64/y

Answer 1

y is 16

Explanation:

`4 = (64)/(y)`

but 64 is 4³:

`4 = \frac{ {4}^(3) }{y}`

make y the subject:

`y = \frac{ {4}^(3) }{4}`

from law of indices:

`y = 4 {}^((3 - 1)) \\ y = {4}^(2) \\ y = 16`

Answer 2

y=16

Explanation:

Multiply all terms by the same value to eliminate fraction denominators

Cancel multiplied terms that are in the denominator

Re-order terms so that constants are on the left

Divide both sides of the equation by the same term

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers