To solve the problem of [tex]\(\left( -1.8 \right)^{122}\)[/tex], we need to understand the steps involved, though we’re going to provide the final computational result directly.
1. Understanding Exponents:
- Exponentiation involves multiplying a base number by itself a certain number of times.
- In this case, the base is [tex]\(-1.8\)[/tex] and the exponent is [tex]\(122\)[/tex].
2. Properties of Exponents:
- When the base is negative and the exponent is even, the result will be positive. This is because multiplying an even number of negative numbers always results in a positive product.
3. Computing the Result:
- The operation [tex]\( \left( -1.8 \right)^{122} \)[/tex] involves multiplying [tex]\(-1.8\)[/tex] by itself 122 times.
- Although this is complex to compute manually, we can assure that the calculations yield a very large positive number since the exponent is even.
4. Final Result:
- After performing the calculations, the result of [tex]\(\left( -1.8 \right)^{122}\)[/tex] is a very large number approximately equal to [tex]\(1.390738964817811 \times 10^{31}\)[/tex].
Thus, the solution to the problem [tex]\(\left( -1.8 \right)^{122}\)[/tex] is [tex]\(1.390738964817811 \times 10^{31}\)[/tex].
