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Solve the following exponent problems: 1-17. Drop the next question!

Mathematics

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Step-by-step solution

3 steps

Here are the solutions for all the exponents:

  1. Solve problems 1-6.

    1. 101=1010^1 = \boxed{10}
    2. 18=11^8 = \boxed{1}
    3. 74=7×7×7×7=49×49=24017^4 = 7 \times 7 \times 7 \times 7 = 49 \times 49 = \boxed{2401}
    4. 109=1,000,000,00010^9 = \boxed{1,000,000,000}
    5. 26=2×2×2×2×2×2=642^6 = 2 \times 2 \times 2 \times 2 \times 2 \times 2 = \boxed{64}
    6. 71=77^1 = \boxed{7}
  2. Solve problems 7-11.

    1. 103=1,00010^3 = \boxed{1,000}
    2. 108=100,000,00010^8 = \boxed{100,000,000}
    3. 04=0×0×0×0=00^4 = 0 \times 0 \times 0 \times 0 = \boxed{0}
    4. 76=7×7×7×7×7×7=2401×49=117,6497^6 = 7 \times 7 \times 7 \times 7 \times 7 \times 7 = 2401 \times 49 = \boxed{117,649}
    5. 96=9×9×9×9×9×9=81×81×81=6561×81=531,4419^6 = 9 \times 9 \times 9 \times 9 \times 9 \times 9 = 81 \times 81 \times 81 = 6561 \times 81 = \boxed{531,441}
  3. Solve problems 12-17.

    1. 31=33^1 = \boxed{3}
    2. 01=00^1 = \boxed{0}
    3. 33=3×3×3=273^3 = 3 \times 3 \times 3 = \boxed{27}
    4. 64=6×6×6×6=36×36=12966^4 = 6 \times 6 \times 6 \times 6 = 36 \times 36 = \boxed{1296}
    5. 31=33^1 = \boxed{3}
    6. 55=5×5×5×5×5=25×25×5=625×5=31255^5 = 5 \times 5 \times 5 \times 5 \times 5 = 25 \times 25 \times 5 = 625 \times 5 = \boxed{3125}
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