Evaluate (6^15)/(6^-7)

$\frac{6^{15}}{6^{- 7}}$

Step 1

Move $6^{- 7}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$6^{15} \cdot 6^{7}$

Step 2

Multiply $6^{15}$ by $6^{7}$ by adding the exponents.

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

$6^{15 + 7}$

Add $15$ and $7$ .

$6^{22}$

Step 3

Raise $6$ to the power of $22$ .

$131621703842267000$

Step 4

The result can be shown in multiple forms.

Exact Form:

$131621703842267000$

Decimal Form:

$1.31621703 \cdot 10^{17}$