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A power of a product could be represented, also, as a product of powers
True
What's the expanded form of 3^4
8x10 + 1 or 80 + 1
A power with an integer base and exponent 3 is a square number.
False, it's a cube number.
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
Is there any exception that (a/b)^n can't be represented as a^n Ă· 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)
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 :)
Represent 10 trillion in a power of ten.
10^13
(3x4)^4 is equal 3^4 x 4^4.
True
What's the standard form for -3^4
-81
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