Calculus Examples

$t^{\frac{1}{2}} \cdot t$

Step 1

Multiply $t^{\frac{1}{2}}$ by $t$ .

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Step 1.1

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

$t^{\frac{1}{2}} \cdot t^{1}$

Step 1.2

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

$t^{\frac{1}{2} + 1}$

Step 2

Write $1$ as a fraction with a common denominator.

$t^{\frac{1}{2} + \frac{2}{2}}$

Step 3

Combine the numerators over the common denominator.

$t^{\frac{1 + 2}{2}}$

Step 4

Add $1$ and $2$ .

$t^{\frac{3}{2}}$