Algebra Examples

$1^{\frac{1}{4}} \cdot 1^{\frac{1}{4}}$

Step 1

Multiply $1^{\frac{1}{4}}$ by $1^{\frac{1}{4}}$ 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.

$1^{\frac{1}{4} + \frac{1}{4}}$

Step 1.2

Combine the numerators over the common denominator.

$1^{\frac{1 + 1}{4}}$

Step 1.3

Add $1$ and $1$ .

$1^{\frac{2}{4}}$

Step 1.4

Cancel the common factor of $2$ and $4$ .

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Step 1.4.1

Factor $2$ out of $2$ .

$1^{\frac{2 (1)}{4}}$

Step 1.4.2

Cancel the common factors.

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Step 1.4.2.1

Factor $2$ out of $4$ .

$1^{\frac{2 \cdot 1}{2 \cdot 2}}$

Step 1.4.2.2

Cancel the common factor.

$1^{\frac{2 \cdot 1}{2 \cdot 2}}$

Step 1.4.2.3

Rewrite the expression.

$1^{\frac{1}{2}}$

Step 2

One to any power is one.

$1$