Question

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

Answer 1

Answer:

$14a^{13}$

Step-by-step 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!