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h-moo · Nov 26, 2012, 06:19 PM

My teacher says you add the eexponents, I'm not sure what to do help ?
ex :
simplify ;

4^11 x 4^4 x 4^-6

a) 4^-21

b) 4^-9

c) 4^9

d) 4^38

ebaines · Nov 27, 2012, 08:49 AM

It is true that you add exponents when multiplying numbers that have a common base - hence:

$<br /> a^b \times a^c = a^{(b+c)}<br />$

For example:

$<br /> 2^3 \times 2^5 \times 2^{-2} = 2^{(3+5-2)} = 2^6<br />$

Use this same process on your problem.