SOLUTION: haloo , pleaseI angry because the number that I study in my life and every operation on it becoms error so ,I hope to help me to answer this quastion 1 ) power(-3,4)*p

Algebra ->  Algebra  -> Exponents -> SOLUTION: haloo , pleaseI angry because the number that I study in my life and every operation on it becoms error so ,I hope to help me to answer this quastion 1 ) power(-3,4)*p      Log On

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Question 631444: haloo , pleaseI angry because the number that I study in my life and every operation on it becoms error so ,I hope to help me to answer this quastion
1 ) power(-3,4)*power(-3,6) is equal to power(-3,10)

2) (-3)^(1/3) is equal to cube root of (-3) or not
)whate the basic and definetion about exponentian number and roots in generals
thank you

Answer by josmiceli(9681) About Me  (Show Source):
You can put this solution on YOUR website!
+%28-3%29%5E4+%2A+%28-3%29%5E6+=+%28-3%29%5E10+
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This just expresses a general rule, namely
+a%5Eb+%2A+a%5Ec+=+a%5E%28+b+%2B+c+%29+
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You can see it easier with simpler numbers
+2%5E3+%2A+2%5E4+=+2%5E7+
Or, writing it the long way:
+%282%2A2%2A2%29%2A%282%2A2%2A2%2A2%29+=+2%5E7+
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and
+%28-3%29%5E%281%2F3%29+
You can see that this is the cube root of +-3+
if you just cube it, and then apply the general rule above
++%28-3%29%5E%281%2F3%29+%2A++%28-3%29%5E%281%2F3%29+%2A++%28-3%29%5E%281%2F3%29+
+%28-3%29%5E%28+1%2F3+%2B+1%2F3+%2B+1%2F3+%29+=+%28-3%29%5E1+
+%28-3%29%5E1+=+-3+
So, the given expression must be the cube root of +-3+
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So, always refer back to the general rules,
and they apply in all cases.