Thread: Help!!! Distributive property with exponents

use the distributive property to expand these expressions. leave ur answer in exponential form.

7^7(7^9 +7^4) = __________

6k^2(3k^4 - 9k^8) = _________


these are 2 of like 100 i have, i just want to make sure im doing them right so i dont have to redo them later, and well fail the assignment.

Remember the product of powers property of exponents: $\displaystyle a^{m} \cdot a^{n} = a^{m+n}$.

I'll do the first one.

1)

$\displaystyle 7^{7}\left(7^{9}+7^{4}\right) = 7^{7} \cdot 7^{9} + 7^{7} \cdot 7^{4} = 7^{7+9} + 7^{7+4} = 7^{16} + 7^{11}$.