Basic Math Examples

$\frac{2}{4^{4 - 17}}$

Step 1

Move $4^{4 - 17}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$2 \cdot 4^{- (4 - 17)}$

Step 2

Rewrite $4$ as $2^{2}$ .

$2 \cdot {(2^{2})}^{- (4 - 17)}$

Step 3

Multiply the exponents in ${(2^{2})}^{- (4 - 17)}$ .

Tap for more steps...

Step 3.1

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

$2 \cdot 2^{2 (- (4 - 17))}$

Step 3.2

Subtract $17$ from $4$ .

$2 \cdot 2^{2 (- - 13)}$

Step 3.3

Multiply $2 (- - 13)$ .

Tap for more steps...

Step 3.3.1

Multiply $- 1$ by $- 13$ .

$2 \cdot 2^{2 \cdot 13}$

Step 3.3.2

Multiply $2$ by $13$ .

$2 \cdot 2^{26}$

Step 4

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

$2^{1 + 26}$

Step 5

Add $1$ and $26$ .

$2^{27}$

Step 6

Raise $2$ to the power of $27$ .

$134217728$