Question

Rewrite the expression in a simpler form. Be sure to show the steps in your work. (3a^5)(14a^8)

Answer 1

`14a^(13)`

Explanation:

Step 1 - Remove the parenthesis:

`3a^5 * 14a^8`

Step 2 - Multiply the whole numbers

`3 * 14 = 42`

`42a^5a^8`

Step 3 - Add the exponents together:

`x^a * x^b = x^(a + b)`

`a^5 * a^8 = a^(5 + 8)`

=
`a^(13)`

Step 4 - Put the two components back together:

`14 + a^(13) = 14a^(13)`

Hope this helps!