Algebra Examples

$(3 n^{\frac{1}{5}}) (9 n^{\frac{4}{5}})$

Step 1

Rewrite using the commutative property of multiplication.

$3 \cdot 9 n^{\frac{1}{5}} n^{\frac{4}{5}}$

Step 2

Multiply $n^{\frac{1}{5}}$ by $n^{\frac{4}{5}}$ by adding the exponents.

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Step 2.1

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

$3 \cdot 9 (n^{\frac{4}{5}} n^{\frac{1}{5}})$

Step 2.2

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

$3 \cdot 9 n^{\frac{4}{5} + \frac{1}{5}}$

Step 2.3

Combine the numerators over the common denominator.

$3 \cdot 9 n^{\frac{4 + 1}{5}}$

Step 2.4

Add $4$ and $1$ .

$3 \cdot 9 n^{\frac{5}{5}}$

Step 2.5

Divide $5$ by $5$ .

$3 \cdot 9 n^{1}$

Step 3

Simplify $3 \cdot 9 n^{1}$ .

$3 \cdot 9 n$

Step 4

Multiply $3$ by $9$ .

$27 n$