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  • 03-02-2022
  • Mathematics
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Which of the following is equal to (3^-3)(3^7)? 3 ^-10 3 ^10 3 ^4 3 ^-4

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VectorFundament120
VectorFundament120 VectorFundament120
  • 03-02-2022

Answer:

3⁴

Step-by-step explanation:

Hey there! To evaluate [tex]\displaystyle \large{3^{-3} \cdot 3^7}[/tex], we can simply do by using one of exponent laws.

Laws of Exponent

[tex]\displaystyle \large{a^m \cdot a^n = a^{m+n}}[/tex]

Hence, let m = -3 and n = 7. Therefore, [tex]\displaystyle \large{3^{-3} \cdot 3^7 = 3^{-3+7} \to 3^4}[/tex]

Let me know if you have any questions regarding the exponent!

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