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Gwar [14]
3 years ago
10

How do you find the power of a product?

Mathematics
2 answers:
mezya [45]3 years ago
6 0
You have to multiply the numbers
Ad libitum [116K]3 years ago
3 0
Lets start with a product of two numbers x and y

the product is xy.  All numbers and variables have an exponent.  If it is not there, you may assume it to be 1.

So xy is also x^{1} y^{1}

so when you raise a product to a power, you multiply the exponents.

(x^{1} y^{1}) ^{3}) is really xy · xy · xy .  then x·x·x·y·y·y or x^{3} y^{3}

Similarly  (x^{2}y^{3}z^{4}){5}) is x^{10}y^{15}z^{20}
and (2yz^{4}){5}) is 2^{5}y^{5}z^{20} which is
32y^{5}Z^{20}

(hope that worked:)






















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