Algebra Examples

$3 x y \cdot 3 x y \cdot 3 x y \cdot 3 x y \cdot 3 x y$

Step 1

Multiply

$x$ by

$x$ by adding the exponents.

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Step 1.1

Move

$x$ .

$3 (x \cdot x) y \cdot (3 y) \cdot (3 x y) \cdot (3 x y) \cdot (3 x y)$

Step 1.2

Multiply

$x$ by

$x$ .

$3 x^{2} y \cdot (3 y) \cdot (3 x y) \cdot (3 x y) \cdot (3 x y)$

Step 2

Multiply

$x^{2}$ by

$x$ by adding the exponents.

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Step 2.1

Move

$x$ .

$3 (x \cdot x^{2}) y \cdot (3 y) \cdot (3 y) \cdot (3 x y) \cdot (3 x y)$

Step 2.2

Multiply

$x$ by

$x^{2}$ .

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Step 2.2.1

Raise

$x$ to the power of

$1$ .

$3 (x^{1} x^{2}) y \cdot (3 y) \cdot (3 y) \cdot (3 x y) \cdot (3 x y)$

Step 2.2.2

Use the power rule

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

$3 x^{1 + 2} y \cdot (3 y) \cdot (3 y) \cdot (3 x y) \cdot (3 x y)$

Step 2.3

Add

$1$ and

$2$ .

$3 x^{3} y \cdot (3 y) \cdot (3 y) \cdot (3 x y) \cdot (3 x y)$

Step 3

Multiply

$x^{3}$ by

$x$ by adding the exponents.

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Step 3.1

Move

$x$ .

$3 (x \cdot x^{3}) y \cdot (3 y) \cdot (3 y) \cdot (3 y) \cdot (3 x y)$

Step 3.2

Multiply

$x$ by

$x^{3}$ .

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Step 3.2.1

Raise

$x$ to the power of

$1$ .

$3 (x^{1} x^{3}) y \cdot (3 y) \cdot (3 y) \cdot (3 y) \cdot (3 x y)$

Step 3.2.2

Use the power rule

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

$3 x^{1 + 3} y \cdot (3 y) \cdot (3 y) \cdot (3 y) \cdot (3 x y)$

Step 3.3

Add

$1$ and

$3$ .

$3 x^{4} y \cdot (3 y) \cdot (3 y) \cdot (3 y) \cdot (3 x y)$

Step 4

Multiply

$x^{4}$ by

$x$ by adding the exponents.

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Step 4.1

Move

$x$ .

$3 (x \cdot x^{4}) y \cdot (3 y) \cdot (3 y) \cdot (3 y) \cdot (3 y)$

Step 4.2

Multiply

$x$ by

$x^{4}$ .

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Step 4.2.1

Raise

$x$ to the power of

$1$ .

$3 (x^{1} x^{4}) y \cdot (3 y) \cdot (3 y) \cdot (3 y) \cdot (3 y)$

Step 4.2.2

Use the power rule

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

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

Step 4.3

Add

$1$ and

$4$ .

$3 x^{5} y \cdot (3 y) \cdot (3 y) \cdot (3 y) \cdot (3 y)$

Step 5

Multiply

$y$ by

$y$ by adding the exponents.

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Step 5.1

Move

$y$ .

$3 x^{5} (y \cdot y) \cdot 3 \cdot (3 y) \cdot (3 y) \cdot (3 y)$

Step 5.2

Multiply

$y$ by

$y$ .

$3 x^{5} y^{2} \cdot 3 \cdot (3 y) \cdot (3 y) \cdot (3 y)$

Step 6

Multiply

$y^{2}$ by

$y$ by adding the exponents.

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Step 6.1

Move

$y$ .

$3 x^{5} (y \cdot y^{2}) \cdot 3 \cdot 3 \cdot (3 y) \cdot (3 y)$

Step 6.2

Multiply

$y$ by

$y^{2}$ .

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Step 6.2.1

Raise

$y$ to the power of

$1$ .

$3 x^{5} (y^{1} y^{2}) \cdot 3 \cdot 3 \cdot (3 y) \cdot (3 y)$

Step 6.2.2

Use the power rule

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

$3 x^{5} y^{1 + 2} \cdot 3 \cdot 3 \cdot (3 y) \cdot (3 y)$

Step 6.3

Add

$1$ and

$2$ .

$3 x^{5} y^{3} \cdot 3 \cdot 3 \cdot (3 y) \cdot (3 y)$

Step 7

Multiply

$y^{3}$ by

$y$ by adding the exponents.

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Step 7.1

Move

$y$ .

$3 x^{5} (y \cdot y^{3}) \cdot 3 \cdot 3 \cdot 3 \cdot (3 y)$

Step 7.2

Multiply

$y$ by

$y^{3}$ .

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Step 7.2.1

Raise

$y$ to the power of

$1$ .

$3 x^{5} (y^{1} y^{3}) \cdot 3 \cdot 3 \cdot 3 \cdot (3 y)$

Step 7.2.2

Use the power rule

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

$3 x^{5} y^{1 + 3} \cdot 3 \cdot 3 \cdot 3 \cdot (3 y)$

Step 7.3

Add

$1$ and

$3$ .

$3 x^{5} y^{4} \cdot 3 \cdot 3 \cdot 3 \cdot (3 y)$

Step 8

Multiply

$y^{4}$ by

$y$ by adding the exponents.

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Step 8.1

Move

$y$ .

$3 x^{5} (y \cdot y^{4}) \cdot 3 \cdot 3 \cdot 3 \cdot 3$

Step 8.2

Multiply

$y$ by

$y^{4}$ .

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Step 8.2.1

Raise

$y$ to the power of

$1$ .

$3 x^{5} (y^{1} y^{4}) \cdot 3 \cdot 3 \cdot 3 \cdot 3$

Step 8.2.2

Use the power rule

$a^{m} a^{n} = a^{m + n}$ to combine exponents.

$3 x^{5} y^{1 + 4} \cdot 3 \cdot 3 \cdot 3 \cdot 3$

Step 8.3

Add

$1$ and

$4$ .

$3 x^{5} y^{5} \cdot 3 \cdot 3 \cdot 3 \cdot 3$

Step 9

Multiply

$3$ by

$3$ .

$9 x^{5} y^{5} \cdot 3 \cdot 3 \cdot 3$

Step 10

Multiply

$3$ by

$9$ .

$27 x^{5} y^{5} \cdot 3 \cdot 3$

Step 11

Multiply

$3$ by

$27$ .

$81 x^{5} y^{5} \cdot 3$

Step 12

Multiply

$3$ by

$81$ .

$243 x^{5} y^{5}$