Algebra Examples

$27 \cdot ({(3^{3})}^{- 1})$

Step 1

Multiply the exponents in ${(3^{3})}^{- 1}$ .

Tap for more steps...

Step 1.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$27 \cdot 3^{3 \cdot - 1}$

Step 1.2

Multiply $3$ by $- 1$ .

$27 \cdot 3^{- 3}$

Step 2

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

$27 \cdot \frac{1}{3^{3}}$

Step 3

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

$27 \cdot \frac{1}{27}$

Step 4

Cancel the common factor of $27$ .

Tap for more steps...

Step 4.1

Cancel the common factor.

$27 \cdot \frac{1}{27}$

Step 4.2

Rewrite the expression.

$1$