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  • 10-12-2020
  • Mathematics
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What is the product of 3x^5 and 2x^4

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absor201
absor201 absor201
  • 10-12-2020

Answer:

[tex]\:3x^5\:\times \:2x^4=6x^9[/tex]

Step-by-step explanation:

Given

  • 3x⁵
  • 2x⁴

We have to determine the product of 3x⁵ and 2x⁴.

Thus,

[tex]\:3x^5\:\times \:2x^4[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\times \:a^c=a^{b+c}[/tex]

[tex]=3x^{5+4}\times \:2[/tex]

[tex]=3x^9\times \:2[/tex]

[tex]=6x^9[/tex]

Thus,

[tex]\:3x^5\:\times \:2x^4=6x^9[/tex]

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