Basic Math Examples

$y^{\frac{5}{4}} y^{\frac{- 1}{4}}$

Step 1

Multiply $y^{\frac{5}{4}}$ by $y^{\frac{- 1}{4}}$ by adding the exponents.

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Step 1.1

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$y^{\frac{5}{4} + \frac{- 1}{4}}$

Step 1.2

Combine the numerators over the common denominator.

$y^{\frac{5 - 1}{4}}$

Step 1.3

Subtract $1$ from $5$ .

$y^{\frac{4}{4}}$

Step 1.4

Divide $4$ by $4$ .

$y^{1}$

Step 2

Simplify $y^{1}$ .

$y$