Calculus Examples

$lim_{x \to 8} x^{- 22}$

Step 1

Move the exponent $- 22$ from $x^{- 22}$ outside the limit using the Limits Power Rule.

${(lim_{x \to 8} x)}^{- 22}$

Step 2

Evaluate the limit of $x$ by plugging in $8$ for $x$ .

$8^{- 22}$

Step 3

Simplify the answer.

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Step 3.1

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

$\frac{1}{8^{22}}$

Step 3.2

Raise $8$ to the power of $22$ .

$\frac{1}{73786976294838200000}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{73786976294838200000}$

Decimal Form:

$1.35525271 \cdot 10^{- 20}$