Algebra Examples

$2 \cdot 3^{2} - 7^{1} + 3 \cdot 3^{0}$

Step 1

Simplify each term.

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Step 1.1

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

$2 \cdot 9 - 7^{1} + 3 \cdot 3^{0}$

Step 1.2

Multiply $2$ by $9$ .

$18 - 7^{1} + 3 \cdot 3^{0}$

Step 1.3

Evaluate the exponent.

$18 - 1 \cdot 7 + 3 \cdot 3^{0}$

Step 1.4

Multiply $- 1$ by $7$ .

$18 - 7 + 3 \cdot 3^{0}$

Step 1.5

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

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Step 1.5.1

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

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Step 1.5.1.1

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

$18 - 7 + 3^{1} \cdot 3^{0}$

Step 1.5.1.2

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

$18 - 7 + 3^{1 + 0}$

$18 - 7 + 3^{1 + 0}$

Step 1.5.2

Add $1$ and $0$ .

$18 - 7 + 3^{1}$

$18 - 7 + 3^{1}$

Step 1.6

Simplify $3^{1}$ .

$18 - 7 + 3$

$18 - 7 + 3$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Subtract $7$ from $18$ .

$11 + 3$

Step 2.2

Add $11$ and $3$ .

$14$

$14$

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