Basic Math Examples

$\frac{1}{2} d^{0.5} \cdot (3 d^{11})$

Step 1

Rewrite using the commutative property of multiplication.

$\frac{1}{2} \cdot 3 d^{0.5} d^{11}$

Step 2

Multiply $d^{0.5}$ by $d^{11}$ by adding the exponents.

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Step 2.1

Move $d^{11}$ .

$\frac{1}{2} \cdot 3 (d^{11} d^{0.5})$

Step 2.2

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

$\frac{1}{2} \cdot 3 d^{11 + 0.5}$

Step 2.3

Add $11$ and $0.5$ .

$\frac{1}{2} \cdot 3 d^{11.5}$

Step 3

Combine $\frac{1}{2}$ and $3$ .

$\frac{3}{2} d^{11.5}$

Step 4

Combine $\frac{3}{2}$ and $d^{11.5}$ .

$\frac{3 d^{11.5}}{2}$