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### Grade 7 - Mathematics3.14 Word Problems - Negative Exponents

 Example: Find the number to be multiplied (-6)-1, so as to get 7-1as the product? Solution: Let x be the number to be multiplied to (-6)-1 so that the product equals 7-1. Therefore (-6)-1 * x = 7-1. -(1/6) * x = 1/7 (Since a-1 = 1/a) Multiplying both sides with -6 we get, -6 * -(1/6) * x = -6 * (1/7) Therefore x = -6/7 Verification: Substitute x value in above we get, -(1/6) * -6/7 = 1/7 = RHS. Therefore LHS=RHS. Directions: Solve the following problems. Also write at least ten examples of your own.
 Q 1: Find the number to be multiplied (7)-1, so as to get 8-1as the product?-7/87/8 Q 2: Find the number to be multiplied (8)-1, so as to get 6-1as the product?-4/34/3 Q 3: Find the number to be multiplied (-9)-1, so as to get 6-1as the product?-3/23/2 Q 4: Find the number to be multiplied (6)-1, so as to get 8-1as the product?3/4-3/4 Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!

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