SOLUTION: Can you show me how to work (4x) with an exponent of -3....I am coming up with -64x with an exponent of -3 and need to make sure this is correct...thanks!

Algebra ->  Exponents -> SOLUTION: Can you show me how to work (4x) with an exponent of -3....I am coming up with -64x with an exponent of -3 and need to make sure this is correct...thanks!      Log On


   

Question 443873: Can you show me how to work (4x) with an exponent of -3....I am coming up with -64x with an exponent of -3 and need to make sure this is correct...thanks!
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The rule for negative exponents is:
+a%5E%28-b%29+=+1+%2F%28+a%5Eb%29+
You are given:
+%284x%29%5E%28-3%29+=+1+%2F+%284x%29%5E3+
+1+%2F+%284x%29%5E3+=+1+%2F%28+4%5E3+%2A+x%5E3%29+
+1+%2F%28+4%5E3+%2A+x%5E3%29+=+1%2F%2864x%5E3%29+