emily2892 emily2892
  • 26-04-2020
  • Mathematics
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Rewrite the expression (9^2)^5 in the form 9^n.

Rewrite the expression 925 in the form 9n class=

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jimthompson5910 jimthompson5910
  • 26-04-2020

Answer: 9^10

In other words, n = 10

=====================================

You use the rule (a^b)^c = a^(b*c) which says to multiply the exponents whenever we raise some exponential to some other exponent.

In this case, a = 9, b = 2, c = 5

(a^b)^c = a^(b*c)

(9^2)^5 = 9^(2*5)

(9^2)^5 = 9^10

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