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36361836\frac{36^{36}}{18^{36}}

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Full solution

Q. 36361836\frac{36^{36}}{18^{36}}
  1. Simplify using exponents property: We can simplify the expression by using the property of exponents that (a/b)n=an/bn(a/b)^n = a^n / b^n. So, 3636/1836=(36/18)3636^{36}/18^{36} = (36/18)^{36}
  2. Simplify the fraction: Now, we simplify the fraction 36/1836/18. \newline36/18=236/18 = 2
  3. Substitute simplified fraction: We substitute the simplified fraction back into the expression. (3618)36=236(\frac{36}{18})^{36} = 2^{36}
  4. Calculate 2362^{36}: Now we just have to calculate 2362^{36}, but since the question asks for the simplified form, we can leave it as 2362^{36}.

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