Simplify 4p*3p^(5/4)

$4 p \cdot 3 p^{\frac{5}{4}}$

Step 1

Rewrite using the commutative property of multiplication.

$4 \cdot 3 p \cdot p^{\frac{5}{4}}$

Step 2

Multiply $p$ by $p^{\frac{5}{4}}$ by adding the exponents.

Move $p^{\frac{5}{4}}$ .

$4 \cdot 3 (p^{\frac{5}{4}} p)$

Multiply $p^{\frac{5}{4}}$ by $p$ .

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

$4 \cdot 3 (p^{\frac{5}{4}} p^{1})$

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

$4 \cdot 3 p^{\frac{5}{4} + 1}$

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

$4 \cdot 3 p^{\frac{5}{4} + \frac{4}{4}}$

Combine the numerators over the common denominator.

$4 \cdot 3 p^{\frac{5 + 4}{4}}$

Add $5$ and $4$ .

$4 \cdot 3 p^{\frac{9}{4}}$

Step 3

Multiply $4$ by $3$ .

$12 p^{\frac{9}{4}}$