Basic Math Examples

5 \cdot 5^{2}

$5 \cdot 5^{2}$

Step 1

Multiply

5

$5$ by

5^{2}

$5^{2}$ by adding the exponents.

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Step 1.1

Multiply

5

$5$ by

5^{2}

$5^{2}$ .

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Step 1.1.1

Raise

5

$5$ to the power of

1

$1$ .

5^{1} \cdot 5^{2}

$5^{1} \cdot 5^{2}$

Step 1.1.2

Use the power rule

a^{m} a^{n} = a^{m + n}

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

5^{1 + 2}

$5^{1 + 2}$

5^{1 + 2}

$5^{1 + 2}$

Step 1.2

Add

1

$1$ and

2

$2$ .

5^{3}

$5^{3}$

5^{3}

$5^{3}$

Step 2

Raise

5

$5$ to the power of

3

$3$ .

125

$125$

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

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