SOLUTION: hey there. i need help with negative exponents. what is 2 to the -4th power multiplied by 2 to the -3rd power? Thanks

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Question 180021This question is from textbook Algebra Structure and Method book 1
: hey there. i need help with negative exponents. what is 2 to the -4th power multiplied by 2 to the -3rd power? Thanks This question is from textbook Algebra Structure and Method book 1

Found 2 solutions by ankor@dixie-net.com, Mathtut:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
exponents. what is 2 to the -4th power multiplied by 2 to the -3rd power?
:
2%5E-4+%2A+2%5E-3
:
Get rid of the negative by finding the reciprocal, add the exponents of like terms:
1%2F2%5E4 * 1%2F2%5E3 = 1%2F2%5E7 = 1%2F128
;
;
you can check it on a calc: enter 2%5E-4+%2A+2%5E-3 = .0078125 which is 1%2F128

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
2%5E-4%2A2%5E-3=2%5E-7 when you have the same base(2 in this case)exponents are added together