Algebra Examples

$f (1) = \frac{3}{2} \cdot {(\frac{4}{3})}^{1} - 1$

Step 1

Simplify each term.

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Step 1.1

Simplify.

$f (1) = \frac{3}{2} \cdot \frac{4}{3} - 1$

Step 1.2

Cancel the common factor of $3$ .

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Step 1.2.1

Cancel the common factor.

$f (1) = \frac{3}{2} \cdot \frac{4}{3} - 1$

Step 1.2.2

Rewrite the expression.

$f (1) = \frac{1}{2} \cdot 4 - 1$

$f (1) = \frac{1}{2} \cdot 4 - 1$

Step 1.3

Cancel the common factor of $2$ .

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Step 1.3.1

Factor $2$ out of $4$ .

$f (1) = \frac{1}{2} \cdot (2 (2)) - 1$

Step 1.3.2

Cancel the common factor.

$f (1) = \frac{1}{2} \cdot (2 \cdot 2) - 1$

Step 1.3.3

Rewrite the expression.

$f (1) = 2 - 1$

$f (1) = 2 - 1$

$f (1) = 2 - 1$

Step 2

Subtract $1$ from $2$ .

$f (1) = 1$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$