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lora16 [44]
3 years ago
5

Please help me solve this?

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
3 0

Answer:

  15x^4y^5z^2

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

3xy^4z^2\cdot 5x^2yx=(3\cdot 5)x^{1+2+1}y^{4+1}z^2=15x^4y^5z^2

_____

<em>Comment on the rule of exponents</em>

You can see where the rule comes from when you consider that an exponent signifies repeated multiplication.

x² = x·x . . . . . . the 2 signifies that x is a factor 2 times

x³ = x·x·x . . . . the 3 signifies that x is a factor 3 times

The product of these is ...

  (x²)(x³) = (x·x)(x·x·x) = x·x·x·x·x = x⁵ = x²⁺³

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