Solve y^2 z^2= 16

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Type your math problem... y^2 z^2= 16

Question

Solve the equation

Solve for y

Solve for z

y = \frac{4}{∣ z ∣} y = - \frac{4}{∣ z ∣}

Evaluate

y^{2} z^{2} = 16

Rewrite the expression

z^{2} y^{2} = 16

Divide both sides

\frac{z ^{2} y ^{2}}{z ^{2}} = \frac{16}{z ^{2}}

Divide the numbers

y^{2} = \frac{16}{z ^{2}}

Take the root of both sides of the equation and remember to use both positive and negative roots

y = \pm \frac{16}{z ^{2}}

Simplify the expression

More Steps

Evaluate

\frac{16}{z ^{2}}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{16}{z ^{2}}

Simplify the radical expression

More Steps

Evaluate

16

Write the number in exponential form with the base of 4

4^{2}

Reduce the index of the radical and exponent with 2

4

\frac{4}{z ^{2}}

Simplify the radical expression

\frac{4}{∣ z ∣}

y = \pm \frac{4}{∣ z ∣}

Solution

y = \frac{4}{∣ z ∣} y = - \frac{4}{∣ z ∣}

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