melaniegreenarringto melaniegreenarringto
  • 02-12-2019
  • Mathematics
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What is the value of n in this expression (9^3)^12 =9^n

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roundadworthy
roundadworthy roundadworthy
  • 02-12-2019

Answer:

n = 36

Step-by-step explanation:

1. Let's find the value of n for the expression: (9^3)^12 =9^n

(9^3)^12 =9^n

(9³) ¹² = 9 ⁿ

Let's remember that the power rule tells us that to raise a power to a power, we multiply the exponents. Here you see that 9³ is raised to the 12th power is equal to 36 (3 * 12)

9 ³⁶ = 9 ⁿ

n = 36

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