Algebra Examples

$3^{- 1} \cdot (4 \cdot 6) \cdot 2^{- 3}$

Step 1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{3} \cdot (4 \cdot 6) \cdot 2^{- 3}$

Step 2

Multiply $4$ by $6$ .

$\frac{1}{3} \cdot 24 \cdot 2^{- 3}$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Factor $3$ out of $24$ .

$\frac{1}{3} \cdot (3 (8)) \cdot 2^{- 3}$

Step 3.2

Cancel the common factor.

$\frac{1}{3} \cdot (3 \cdot 8) \cdot 2^{- 3}$

Step 3.3

Rewrite the expression.

$8 \cdot 2^{- 3}$

Step 4

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$8 \cdot \frac{1}{2^{3}}$

Step 5

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

$8 \cdot \frac{1}{8}$

Step 6

Cancel the common factor of $8$ .

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Step 6.1

Cancel the common factor.

$8 \cdot \frac{1}{8}$

Step 6.2

Rewrite the expression.

$1$