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
    Community Answer
    Anything to the power of zero is 1.
  • Question
    How would I do a calculation such as -2^-2?
    Community Answer
    Community Answer
    (-2)^(-2) = 1 / (-2)² = 1 / [(-2)(-2)] = 1/4.
  • Question
    What is 3 to the power of (-3/2)?
    Community Answer
    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
    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
    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
    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
    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
    I_l1ke_gam3s
    Community Answer
    (1/4)^-2 = 4² = 16.
  • Question
    What is 33.78 to negative power of 1.6?
    Community Answer
    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).
  • Question
    What is 30 x 10^(-3)?
    Community Answer
    Community Answer
    30 x 10^(-3) = (30)(0.001) = 0.03.
  • Question
    What is (1/3)^-3?
    Community Answer
    Community Answer
    (1/3)^-3 = (3/1)³ = 3³ = 27.
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