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2a^2*5a^5 i need help on this quesion for algebra.

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2 Answers

hints:

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.

Comments

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 

Comments