Basic Math Examples

$y + 3 (3^{2}) = 2 - 3 \cdot 3$

Step 1

Simplify each term.

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Step 1.1

Multiply $3$ by $3^{2}$ by adding the exponents.

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Step 1.1.1

Multiply $3$ by $3^{2}$ .

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Step 1.1.1.1

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

$y + 3^{1} \cdot 3^{2} = 2 - 3 \cdot 3$

Step 1.1.1.2

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

$y + 3^{1 + 2} = 2 - 3 \cdot 3$

Step 1.1.2

Add $1$ and $2$ .

$y + 3^{3} = 2 - 3 \cdot 3$

Step 1.2

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

$y + 27 = 2 - 3 \cdot 3$

Step 2

Simplify $2 - 3 \cdot 3$ .

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Step 2.1

Multiply $- 3$ by $3$ .

$y + 27 = 2 - 9$

Step 2.2

Subtract $9$ from $2$ .

$y + 27 = - 7$

Step 3

Move all terms not containing $y$ to the right side of the equation.

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Step 3.1

Subtract $27$ from both sides of the equation.

$y = - 7 - 27$

Step 3.2

Subtract $27$ from $- 7$ .

$y = - 34$