Question

Simplify (36)18.

A) 33
B) 312
C) 324
D) 3108

Answer 1

C) 324

Step-by-step explanation:

To simplify (36)18, apply the power of a power rule, which means multiplying the exponents together. This can be calculated as
`36^(18)` =
`(6^2)^(18)`. Evaluating 6 raised to the power of 36 results in 2,176,782,336. Therefore, the simplified form of (36)18 is 324.

When simplifying exponents with the same base raised to a power, you multiply the exponents together. In this case, 36 is 6 squared, so raising 6 to the power of 18 (36) means multiplying the exponents:
`6^(2*18) = 6^36`. After evaluating, it equals 2,176,782,336, simplifying to 324 in its simplest form.