Algebra Examples

$4 (6^{0}) + 3 (3^{- 1})$

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Anything raised to $0$ is $1$ .

$4 \cdot 1 + 3 (3^{- 1})$

Step 1.2

Multiply $4$ by $1$ .

$4 + 3 (3^{- 1})$

Step 1.3

Multiply $3$ by $3^{- 1}$ by adding the exponents.

Tap for more steps...

Step 1.3.1

Multiply $3$ by $3^{- 1}$ .

Tap for more steps...

Step 1.3.1.1

Raise $3$ to the power of $1$ .

$4 + 3^{1} \cdot 3^{- 1}$

Step 1.3.1.2

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

$4 + 3^{1 - 1}$

Step 1.3.2

Subtract $1$ from $1$ .

$4 + 3^{0}$

Step 1.4

Simplify $3^{0}$ .

$4 + 1$

Step 2

Add $4$ and $1$ .

$5$