Basic Math Examples

$\frac{3^{4 - 21}}{3}$

Step 1

Move $3^{4 - 21}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{3 \cdot 3^{- (4 - 21)}}$

Step 2

Multiply $3$ by $3^{- (4 - 21)}$ by adding the exponents.

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Step 2.1

Multiply $3$ by $3^{- (4 - 21)}$ .

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Step 2.1.1

Raise $3$ to the power of $1$ .

$\frac{1}{3^{1} \cdot 3^{- (4 - 21)}}$

Step 2.1.2

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

$\frac{1}{3^{1 - (4 - 21)}}$

Step 2.2

Subtract $21$ from $4$ .

$\frac{1}{3^{1 - - 17}}$

Step 2.3

Multiply $- 1$ by $- 17$ .

$\frac{1}{3^{1 + 17}}$

Step 2.4

Add $1$ and $17$ .

$\frac{1}{3^{18}}$

Step 3

Raise $3$ to the power of $18$ .

$\frac{1}{387420489}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{387420489}$

Decimal Form:

$2.58117479 \cdot 10^{- 9}$