Select ALL experessions equivalent to (3^-2 * 3^4)^2
A: 1/81
B:81
C:3^10 * 3^-6
D:3^-13
E: 3^4

Question

Select ALL experessions equivalent to (3^-2 * 3^4)^2
A: 1/81
B:81
C:3^10 * 3^-6
D:3^-13
E: 3^4

anonymous · Answer

@texaschic101 @Jadedry Can you help me with a few more?

anonymous · Answer

C D and A?

jadedry · Answer

Sure, I'll bite. 

$$(3^{-2} * 3^{4})^{2}$$

Remember that when you multiply indices, the power is added. 

 (of course, they must all have the same base. No multiplying 5^2 by 3^3!) 

There are a few variations of the above equation:

1)$$(3^{2})^{2}$$

2)$$3^{4}$$

3)81

Here is the tricky bit, there is one more option up there. $$3^{10} * 3^{-6}$$ , this equation, when simplified, = $$3^4$$

Therefore the correct options are B, C and E. 

A would be correct if the 2 at the end was negative. 

D is just, not correct..