yes they are the same 4^3 = 4*4*4=64
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This is one of the laws of exponents, which states that xa * xb = x(a+b) The base is x, and the two powers (or exponents) are a and b.
The Addition Property of Exponents. To multiply powers with the same base, add the exponents. e.g. 34 x 37 = 311, x2x3 = x5, and (3x2yz3)(2x5y2z) = 6x7y3z4.
They are not. Exponents, powers and indices are terms used for the same thing.
The rule is that you multiply the exponents. So if I have 2 squared and I want to raise it to the third power, you multiply the 2x3=6. When you multiply powers you add the exponents. When you raise exponents to a power you multiply. This works for rational exponents which can be used to represent roots as well.
None. Different words for the same thing.