Answer:
See below
Step-by-step explanation:
I'm not sure what aspect of the attachment you'd like help on. The column under "Name" contains terms commonly used in math. The next column gives examples of how that term is used. The Power of a Product refers to the exponent of a multiplication product. It demonstrates that (3*2)^5 is the same as if you separated the two components and raised each to the same power independently, and then multiplies the result:
I.e.,: (3*2)^5 is 6^5 becomes 7776. I we try separating the two:
3^5 = 243; 2^5 = 32 ; 243*32 = 7776
They are equivalent.
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Power of Zero. A most curious, but highly important fact, is that anything raised to the 0 power is 1. Whoa, that seems counterintuitive. But it makes sense when you think about it. The square root of a number can be written as x^(1/2). Cube root is x^(1/3) and so on. as trhe exponent gets smaller, the result becomes tinier, rapidly. The limit is an exponent of zero. It returns a result of 1, no matter the base number.
Negative exponent. This just means that the number is the denominator of a fraction. 1/3^2 is the same as 3^-2.
Unit fraction is as was discussed above, under Power of Zero.
Product of powers. When two numbers of the same base are multiplied, add their exponents for the result. E.g., 3^1 * 3^1 = 3^2; or 2^4 * 2^3 = 2^7
Power of a power: This tells us that a a number to a power, e.g., 3^4, can be raised to another power, e.g., (3^4)^5 = 3^20
I hope this helps a little. Please ask a more specific question to get a focused answer.
