Evaluate 3/8*(4^(4/3))/8-(3^(4/3))/8-3/8

$\frac{3}{8} \cdot \frac{4^{\frac{4}{3}}}{8} - \frac{3^{\frac{4}{3}}}{8} - \frac{3}{8}$

Multiply $\frac{3}{8} \cdot \frac{4^{\frac{4}{3}}}{8}$ .

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Multiply $\frac{3}{8}$ and $\frac{4^{\frac{4}{3}}}{8}$ .

$\frac{3 \cdot 4^{\frac{4}{3}}}{8 \cdot 8} - \frac{3^{\frac{4}{3}}}{8} - \frac{3}{8}$

Multiply $8$ by $8$ .

$\frac{3 \cdot 4^{\frac{4}{3}}}{64} - \frac{3^{\frac{4}{3}}}{8} - \frac{3}{8}$

Combine the numerators over the common denominator.

$\frac{3 \cdot 4^{\frac{4}{3}}}{64} + \frac{- 3^{\frac{4}{3}} - 3}{8}$

To write $\frac{- 3^{\frac{4}{3}} - 3}{8}$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{3 \cdot 4^{\frac{4}{3}}}{64} + \frac{- 3^{\frac{4}{3}} - 3}{8} \cdot \frac{8}{8}$

Write each expression with a common denominator of $64$ , by multiplying each by an appropriate factor of $1$ .

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Multiply $\frac{- 3^{\frac{4}{3}} - 3}{8}$ and $\frac{8}{8}$ .

$\frac{3 \cdot 4^{\frac{4}{3}}}{64} + \frac{(- 3^{\frac{4}{3}} - 3) \cdot 8}{8 \cdot 8}$

Multiply $8$ by $8$ .

$\frac{3 \cdot 4^{\frac{4}{3}}}{64} + \frac{(- 3^{\frac{4}{3}} - 3) \cdot 8}{64}$

Combine the numerators over the common denominator.

$\frac{3 \cdot 4^{\frac{4}{3}} + (- 3^{\frac{4}{3}} - 3) \cdot 8}{64}$

Simplify the numerator.

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Apply the distributive property.

$\frac{3 \cdot 4^{\frac{4}{3}} - 3^{\frac{4}{3}} \cdot 8 - 3 \cdot 8}{64}$

Multiply $8$ by $- 1$ .

$\frac{3 \cdot 4^{\frac{4}{3}} - 8 \cdot 3^{\frac{4}{3}} - 3 \cdot 8}{64}$

Multiply $- 3$ by $8$ .

$\frac{3 \cdot 4^{\frac{4}{3}} - 8 \cdot 3^{\frac{4}{3}} - 24}{64}$

The result can be shown in multiple forms.

Exact Form:

$\frac{3 \cdot 4^{\frac{4}{3}} - 8 \cdot 3^{\frac{4}{3}} - 24}{64}$

Decimal Form:

$- 0.61820589 \dots$

Evaluate 3/8*(4^(4/3))/8-(3^(4/3))/8-3/8

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