Algebra Examples

$4 (48^{\frac{1}{4}}) - 3 \cdot 3^{\frac{1}{4}}$

Step 1

Factor out negative.

$4 \cdot 48^{\frac{1}{4}} - (3 \cdot 3^{\frac{1}{4}})$

Step 2

Raise $3$ to the power of $1$ .

$4 \cdot 48^{\frac{1}{4}} - (3^{1} \cdot 3^{\frac{1}{4}})$

Step 3

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

$4 \cdot 48^{\frac{1}{4}} - 3^{1 + \frac{1}{4}}$

Step 4

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

$4 \cdot 48^{\frac{1}{4}} - 3^{\frac{4}{4} + \frac{1}{4}}$

Step 5

Combine the numerators over the common denominator.

$4 \cdot 48^{\frac{1}{4}} - 3^{\frac{4 + 1}{4}}$

Step 6

Add $4$ and $1$ .

$4 \cdot 48^{\frac{1}{4}} - 3^{\frac{5}{4}}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$4 \cdot 48^{\frac{1}{4}} - 3^{\frac{5}{4}}$

Decimal Form:

$6.58037006 \dots$