Simplify (17^16)/(17^-3)

$\frac{17^{16}}{17^{- 3}}$

Step 1

Move $17^{- 3}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$17^{16} \cdot 17^{3}$

Step 2

Multiply $17^{16}$ by $17^{3}$ by adding the exponents.

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

$17^{16 + 3}$

Add $16$ and $3$ .

$17^{19}$

Step 3

Raise $17$ to the power of $19$ .

$239072435685151000000000$

Step 4

The result can be shown in multiple forms.

Exact Form:

$239072435685151000000000$

Decimal Form:

$2.39072435 \cdot 10^{23}$