Evaluate 2(3)^2-5^1+3(3)^0

$2 {(3)}^{2} - 5^{1} + 3 {(3)}^{0}$

Step 1

Simplify each term.

Raise $3$ to the power of $2$ .

$2 \cdot 9 - 5^{1} + 3 {(3)}^{0}$

Multiply $2$ by $9$ .

$18 - 5^{1} + 3 {(3)}^{0}$

Evaluate the exponent.

$18 - 1 \cdot 5 + 3 {(3)}^{0}$

Multiply $- 1$ by $5$ .

$18 - 5 + 3 {(3)}^{0}$

Multiply $3$ by ${(3)}^{0}$ by adding the exponents.

Multiply $3$ by ${(3)}^{0}$ .

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

$18 - 5 + 3^{1} {(3)}^{0}$

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

$18 - 5 + 3^{1 + 0}$

Add $1$ and $0$ .

$18 - 5 + 3^{1}$

Simplify $3^{1}$ .

$18 - 5 + 3$

Step 2

Simplify by adding and subtracting.

Subtract $5$ from $18$ .

$13 + 3$

Add $13$ and $3$ .

$16$