Algebra Examples

$2^{5} \cdot 3^{5} \cdot 6^{- 5}$

Step 1

Raise $2$ to the power of $5$ .

$32 \cdot 3^{5} \cdot 6^{- 5}$

Step 2

Raise $3$ to the power of $5$ .

$32 \cdot 243 \cdot 6^{- 5}$

Step 3

Multiply $32$ by $243$ .

$7776 \cdot 6^{- 5}$

Step 4

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

$7776 \cdot \frac{1}{6^{5}}$

Step 5

Raise $6$ to the power of $5$ .

$7776 \cdot \frac{1}{7776}$

Step 6

Cancel the common factor of $7776$ .

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Step 6.1

Cancel the common factor.

$7776 \cdot \frac{1}{7776}$

Step 6.2

Rewrite the expression.

$1$