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Exponents

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  • A power of a product could be represented, also, as a product of powers
    True
  • Why every number to zero power is equal 1?
    To reduce the exponent in one unit, you have to divide the number for itself and a number with exponent one, divided for itself will result one :)
  • A power with an integer base and exponent 3 is a square number.
    False, it's a cube number.
  • What's the standard form for -3^4
    -81
  • What's the expanded form of 3^4
    8x10 + 1 or 80 + 1
  • Is there any exception that (a/b)^n can't be represented as a^n ÷ b^n?
    Yes, this is not true if b = 0.
  • Why -3^3 is not equal (-3)^3?
    Because in the first case, the base is 3, not -3. Differently from the second expression, where the base is (-3)
  • Represent 10 trillion in a power of ten.
    10^13
  • What's the difference between a quotient of powers and a power of a quotient?
    The first one means two powers outside brackets being divided. The second one means one big quotient inside brackets, to a random power
  • (3x4)^4 is equal 3^4 x 4^4.
    True