Algebra Examples

${(24 a^{12} b^{6})}^{0} {(7 a^{6} b)}^{- 1}$

Step 1

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

Tap for more steps...

Step 1.1

Apply the product rule to $24 a^{12} b^{6}$ .

${(24 a^{12})}^{0} {(b^{6})}^{0} {(7 a^{6} b)}^{- 1}$

Step 1.2

Apply the product rule to $24 a^{12}$ .

$24^{0} {(a^{12})}^{0} {(b^{6})}^{0} {(7 a^{6} b)}^{- 1}$

Step 2

Anything raised to $0$ is $1$ .

$1 {(a^{12})}^{0} {(b^{6})}^{0} {(7 a^{6} b)}^{- 1}$

Step 3

Multiply ${(a^{12})}^{0}$ by $1$ .

${(a^{12})}^{0} {(b^{6})}^{0} {(7 a^{6} b)}^{- 1}$

Step 4

Multiply the exponents in ${(a^{12})}^{0}$ .

Tap for more steps...

Step 4.1

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

$a^{12 \cdot 0} {(b^{6})}^{0} {(7 a^{6} b)}^{- 1}$

Step 4.2

Multiply $12$ by $0$ .

$a^{0} {(b^{6})}^{0} {(7 a^{6} b)}^{- 1}$

Step 5

Anything raised to $0$ is $1$ .

$1 {(b^{6})}^{0} {(7 a^{6} b)}^{- 1}$

Step 6

Multiply ${(b^{6})}^{0}$ by $1$ .

${(b^{6})}^{0} {(7 a^{6} b)}^{- 1}$

Step 7

Multiply the exponents in ${(b^{6})}^{0}$ .

Tap for more steps...

Step 7.1

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

$b^{6 \cdot 0} {(7 a^{6} b)}^{- 1}$

Step 7.2

Multiply $6$ by $0$ .

$b^{0} {(7 a^{6} b)}^{- 1}$

Step 8

Anything raised to $0$ is $1$ .

$1 {(7 a^{6} b)}^{- 1}$

Step 9

Multiply ${(7 a^{6} b)}^{- 1}$ by $1$ .

${(7 a^{6} b)}^{- 1}$

Step 10

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

$\frac{1}{7 a^{6} b}$