Simplify negative 3 to the power of 2
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Simplify negative 3 to the power of 2
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WebbNegative Exponents and Negative Bases – Example 3: Simplify. (3a 2c)−2 = ( 3 a 2 c) − 2 = Solution: Use Exponent’s rules: ( xa xb)−n = (xb xa)n → (3a 2c) −2 = (2c 3a)2 = (2c)2 (3a)2 = 22c2 32a2 = 4c2 9a2 ( x a x b) − n = ( x b x a) n → ( 3 a 2 c) − 2 = ( 2 c 3 a) 2 = ( 2 c) 2 ( 3 a) 2 = 2 2 c 2 3 2 a 2 = 4 c 2 9 a 2 WebbThe rule for negative indices is \ (a^ {-m} = \frac {1} {a^m}\). A negative power is often referred to as a reciprocal (\ (a^ {-m} = \frac {1} {a^m}\) is the reciprocal of \ (a^m\)). Examples...
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Webb3 nov. 2016 · The simplified expression is: . Step-by-step explanation: We have been given an expression: We will simplify it by adding powers of the terms which have same base So first we will simplify numerator and denominator individually so we get: Cancel the powers of the term with same base. Hence, the simplified expression of:. WebbThe exponent formula is: a n = a × a × ... × a n times The base a is raised to the power of n, is equal to n times multiplication of a. For example: 2 5 = 2×2×2×2×2 = 32 Multiplying exponents an ⋅ am = an+m Example: 2 3 ⋅ 2 4 = 2 (3+4) = 2 7 = 128 an ⋅ bn = ( a ⋅ b) n Example: 3 2 ⋅ 4 2 = (3⋅4) 2 = 12 2 = 144 Dividing exponents an am = an-m
Webb2 -5 = 12 × 12 × 12 × 12 × 12 = 12 × 2 × 2 × 2 × 2 = 132 = 0.03125. Another way to solve 2 …
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