find z. (9)^ 2× 3^4= 3^z
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Answer:
Z = 8
Step-by-step explanation:
=> (9^2)*(3^4) = 3^z
=> (3^2*2)*(3^4) = 3z [9 can be written as 3^2]
=> (3^4)*(3^4) = 3z
=> (3^8) = 3z (Laws of Exponents: a^m*b^m = a^m+n)
=> z = 8 [As bases are same, powers will be equal]
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