Basic Math Examples

$10^{\frac{3}{2}} \cdot 10^{\frac{3}{2}}$

Step 1

Multiply $10^{\frac{3}{2}}$ by $10^{\frac{3}{2}}$ by adding the exponents.

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Step 1.1

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

$10^{\frac{3}{2} + \frac{3}{2}}$

Step 1.2

Combine the numerators over the common denominator.

$10^{\frac{3 + 3}{2}}$

Step 1.3

Add $3$ and $3$ .

$10^{\frac{6}{2}}$

Step 1.4

Divide $6$ by $2$ .

$10^{3}$

Step 2

Raise $10$ to the power of $3$ .

$1000$