I have been trying to figure this question out and I don't get it.
2a^2*5a^5 i need help on this quesion for algebra.
Commutative Property is important here. You can multiply these in any order you like.
a^2 is the same thing as a*a
a^5 is the same thing as a*a*a*a*a
The only two other factors of this statement are 2 & 5. The order of all these factors doesn't matter (commutative property of multiplication).
So the statement is the same thing as:
2 * (a * a) * 5 * (a * a * a * a * a)
= 2 * 5 * (a * a) * (a * a * a * a * a)
= 2 * 5 * a * a * a * a * a * a * a
If that doesn't help then let me know and I'll try again.
We will use:
Property of exponent: am • an = am+n
Commutative property of multiplication: a • b = b • a
2 a2 • 5 a5 =
2 • a2 • 5 • a5 =
2 • 5 • a2 • a5 =
10 • a2 + 5 = 10 a7