help in exponents
plz
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1
Answer:
x = –8
For solution , please refer to the attachment .
Note:
★ a^m × a^n = a^(m + n)
★ a^m / a^n = a^(m – n)
★ a^m × b^m = (a×b)^m
★ a^m / b^m = (a/b)^m
★ [ a^m ]^n = a^mn
★ a^(-n) = (1/a)^n
★ (a/b)^(-n) = (b/a)^n
★ a^m = a^n => m = n
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Answer:
x = (-8)
Step-by-step explanation:
[(2/3)^⅓]^{x-1} = 27/8
=> [(2/3)^⅓]^{x-1} = (3/2)³
=> [(2/3)^⅓]^{x-1} = (2/3)^{-3}
=> {x-1}/3 = -3
=> x-1 = -9
=> x = -9+1
=> x = (-8)
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