Evaluate Using the Given Value f(1)=3/2*(4/3)^1-1

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

Step 1

Simplify each term.

Simplify.

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

Cancel the common factor of $3$ .

Cancel the common factor.

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

Rewrite the expression.

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

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

$f (1) = 2 - 1$

Step 2

Subtract $1$ from $2$ .

$f (1) = 1$