Basic Math Examples

${(\sqrt{y})}^{2} = 23$

Step 1

Use $\sqrt[n]{a^{x}} = a^{\frac{x}{n}}$ to rewrite $\sqrt{y}$ as $y^{\frac{1}{2}}$ .

${(y^{\frac{1}{2}})}^{2} = 23$

Step 2

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$y^{\frac{1}{2} \cdot 2} = 23$

Step 3

Combine $\frac{1}{2}$ and $2$ .

$y^{\frac{2}{2}} = 23$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Cancel the common factor.

$y^{\frac{2}{2}} = 23$

Step 4.2

Rewrite the expression.

$y^{1} = 23$

Step 5

Simplify.

$y = 23$