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Simplify 6 to the 5th over 7 to the 3rd all raised to the 2nd power. A: 6 to the 7th over 7 to the 10th B: 6 to the 10th over 7 to the 6th C: 6 to the 3rd over 7 D: 12 to the 5th over 14 to the 3rd, someone please help asap

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wegnerkolmp2741o

Answer:

B: 6 to the 10th over 7 to the 6th

Step-by-step explanation:

(6^5 / 7^3)^2

We know that (a /b) ^c = a^c / b^c

(6^5)^2 /  (7^3)^2

We know that  a power to a power is the powers multiplied a^b^c = a^(b*c)

6^ (5*2)/ (7^(3*2))

6^10/(7^6)

Since the bases are not the same, there is nothing else we can do

Answer:

6 to the 10th over 7 to the 6th

Step-by-step explanation:

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