Calculus Examples

$\frac{8 {(0)}^{- \frac{10}{9}}}{81}$

Step 1

Move ${(0)}^{- \frac{10}{9}}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

Tap for more steps...

Step 1.1

Move $0^{\frac{10}{9}}$ .

$\frac{8 (0^{\frac{10}{9}} {(0)}^{- \frac{10}{9}})}{81 \cdot 0^{\frac{10}{9}}}$

Step 1.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{8 \cdot 0^{\frac{10}{9} - \frac{10}{9}}}{81 \cdot 0^{\frac{10}{9}}}$

Step 1.3

Combine the numerators over the common denominator.

$\frac{8 \cdot 0^{\frac{10 - 10}{9}}}{81 \cdot 0^{\frac{10}{9}}}$

Step 1.4

Subtract $10$ from $10$ .

$\frac{8 \cdot 0^{\frac{0}{9}}}{81 \cdot 0^{\frac{10}{9}}}$

Step 1.5

Divide $0$ by $9$ .

$\frac{8 \cdot 0^{0}}{81 \cdot 0^{\frac{10}{9}}}$

Step 1.6

Zero to the zero power is undefined.

Undefined

$\frac{8 \cdot 0^{0}}{81 \cdot 0^{\frac{10}{9}}}$

Step 2

Zero to the zero power is undefined.

Undefined