Q&A for How to Calculate Negative Exponents

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simplify the (3b cubed) to the power of negative 2 over 2b squared close and open parenthesis to the power of zero?

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Anything to the power of zero is 1.

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How would I do a calculation such as -2^-2?

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(-2)^(-2) = 1 / (-2)² = 1 / [(-2)(-2)] = 1/4.

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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.

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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.

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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.

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What is 1/2 raised to power negative three?

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(½)^(-3) = (2)^(+3) = 8.

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Simplify by adding the indices of 3bx6b raised to the power of -5x6 raised to the power of -2

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Community Answer

3b(6b) = 18b^2. -5x6 = -30x2 = -60. -60x2 = -120. The answer is 18b^-120 = 18(1/b^120) = 18/b^120.

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What is [1/4] raised to power of minus 2?

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(1/4)^-2 = 4² = 16.

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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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