Q&A for How to Calculate Negative Exponents

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  • Question
    simplify the (3b cubed) to the power of negative 2 over 2b squared close and open parenthesis to the power of zero?
    Community Answer
    Anything to the power of zero is 1.
  • Question
    How would I do a calculation such as -2^-2?
    Community Answer
    (-2)^(-2) = 1 / (-2)² = 1 / [(-2)(-2)] = 1/4.
  • Question
    What is 3 to the power of (-3/2)?
    Community Answer
    3^(-3/2) = 1 / 3^(3/2) = 1 / [(3³)^(½)] = 1 / [27^(½)] = 1 / √27 = 1 / 3√3. Then rationalize the denominator by multiplying both the numerator and denominator by √3: (1 / 3√3)(√3 / √3) = √3 / [(3)(3)] = √3 / 9. You can leave the answer in that form or evaluate it as 1.732 / 9 = 0.192.
  • Question
    5 exponent negative one into brackets 3 exponent negative 2
    Community Answer
    If you are trying to divide 5^(-1) into 3^(-2), that's (1/9) / (1/5) = (1/9)(5/1) = 5/9.
  • Question
    How much is (-1) + 3(-1)² + 3(-1) + 1?
    Community Answer
    That's equal to -1 + (3)(1) - 3 + 1 = -1 + 3 - 3 +1 = 0.
  • Question
    What is 1/2 raised to power negative three?
    Community Answer
    (½)^(-3) = (2)^(+3) = 8.
  • Question
    Simplify by adding the indices of 3bx6b raised to the power of -5x6 raised to the power of -2
    I_l1ke_gam3s
    Community Answer
    3b(6b) = 18b^2. -5x6 = -30x2 = -60. -60x2 = -120. The answer is 18b^-120 = 18(1/b^120) = 18/b^120.
  • Question
    What is [1/4] raised to power of minus 2?
    I_l1ke_gam3s
    Community Answer
    (1/4)^-2 = 4² = 16.
  • Question
    What is 33.78 to negative power of 1.6?
    Community Answer
    See Solve Decimal Exponents . Remember that the negative exponent calls for the reciprocal of the base number, so the question becomes 1 / (33.78 ^1.6).
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