Evaluating the Expression: 3^57 x 4^1 + 2^43 x 4^1
In this article, we will evaluate the expression 3^57 x 4^1 + 2^43 x 4^1. To do this, we need to follow the order of operations (PEMDAS) and apply the rules of exponents.
Step 1: Evaluate the Exponents
First, let's evaluate the exponents:
3^57means 3 raised to the power of 574^1means 4 raised to the power of 1, which is equal to 42^43means 2 raised to the power of 434^1means 4 raised to the power of 1, which is equal to 4
Step 2: Multiply the Terms
Next, let's multiply the terms:
3^57 x 4^1=3^57 x 4=3^57 x 42^43 x 4^1=2^43 x 4=2^43 x 4
Step 3: Add the Products
Finally, let's add the products:
3^57 x 4 + 2^43 x 4
Evaluating the Expression
Now, let's try to simplify the expression:
3^57 x 4 + 2^43 x 4
Unfortunately, this expression cannot be simplified further without using a calculator or computer to evaluate the large exponents. However, we can conclude that the expression is equal to the sum of two very large numbers.
Conclusion
In conclusion, we have evaluated the expression 3^57 x 4^1 + 2^43 x 4^1 by applying the order of operations and the rules of exponents. The final expression is 3^57 x 4 + 2^43 x 4, which is equal to the sum of two very large numbers.
