Algebra Examples

$b^{- 9} \cdot {(b^{2})}^{4}$

Step 1

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

$\frac{1}{b^{9}} \cdot {(b^{2})}^{4}$

Step 2

Multiply the exponents in ${(b^{2})}^{4}$ .

Tap for more steps...

Step 2.1

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

$\frac{1}{b^{9}} \cdot b^{2 \cdot 4}$

Step 2.2

Multiply $2$ by $4$ .

$\frac{1}{b^{9}} \cdot b^{8}$

Step 3

Cancel the common factor of $b^{8}$ .

Tap for more steps...

Step 3.1

Factor $b^{8}$ out of $b^{9}$ .

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

Step 3.2

Cancel the common factor.

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

Step 3.3

Rewrite the expression.

$\frac{1}{b}$