Algebra Examples

$\frac{3}{4} (2^{3} + 4^{2})$

Step 1

Simplify each term.

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Step 1.1

Raise $2$ to the power of $3$ .

$\frac{3}{4} \cdot (8 + 4^{2})$

Step 1.2

Raise $4$ to the power of $2$ .

$\frac{3}{4} \cdot (8 + 16)$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Add $8$ and $16$ .

$\frac{3}{4} \cdot 24$

Step 2.2

Cancel the common factor of $4$ .

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Step 2.2.1

Factor $4$ out of $24$ .

$\frac{3}{4} \cdot (4 (6))$

Step 2.2.2

Cancel the common factor.

$\frac{3}{4} \cdot (4 \cdot 6)$

Step 2.2.3

Rewrite the expression.

$3 \cdot 6$

Step 2.3

Multiply $3$ by $6$ .

$18$