dominicpearce dominicpearce
  • 21-04-2020
  • Mathematics
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How is multiplying exponents (x² ⋅ x⁴) different from raising a power to a power ((x²)⁴)?

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pandaeyes1021
pandaeyes1021 pandaeyes1021
  • 21-04-2020

Answer:

When you are "multiplying" exponents, you're really just adding them together. So in the case of (x² ⋅ x⁴), you add the exponents:

2 + 4 = 6

[tex]x^{6}[/tex] would be the answer.

On the other hand, raising a power to a power, is actually multiplying them. So it would just be:

2 ⋅ 4 = 8

[tex]x^{8}[/tex] would be the answer.

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