Algebra Examples

Evaluate $4 x$ when $x = \frac{1}{4}$

Step 1

Replace the variable $x$ with $\frac{1}{4}$ in the expression.

$e v a l u a t e \cdot (4 (\frac{1}{4}))$

Step 2

Multiply $a$ by $a$ by adding the exponents.

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Step 2.1

Move $a$ .

$e v (a \cdot a) l u t e \cdot (4 (\frac{1}{4}))$

Step 2.2

Multiply $a$ by $a$ .

$e v a^{2} l u t e \cdot (4 (\frac{1}{4}))$

Step 3

Multiply $e v a^{2} l u t e$ .

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Step 3.1

Raise $e$ to the power of $1$ .

$v a^{2} l u t (e^{1} e) \cdot (4 (\frac{1}{4}))$

Step 3.2

Raise $e$ to the power of $1$ .

$v a^{2} l u t (e^{1} e^{1}) \cdot (4 (\frac{1}{4}))$

Step 3.3

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

$v a^{2} l u t e^{1 + 1} \cdot (4 (\frac{1}{4}))$

Step 3.4

Add $1$ and $1$ .

$v a^{2} l u t e^{2} \cdot (4 (\frac{1}{4}))$

Step 4

Cancel the common factor of $4$ .

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Step 4.1

Cancel the common factor.

$v a^{2} l u t e^{2} \cdot (4 (\frac{1}{4}))$

Step 4.2

Rewrite the expression.

$v a^{2} l u t e^{2} \cdot 1$

Step 5

Multiply $v$ by $1$ .

$a^{2} l u t e^{2} v$