-x-(10%5E-12).jpeg "(5 25 X 10^6) X (10^-12)")
Operations with Exponents: Evaluating (5 × 25 × 10^6) × (10^-12)
In this article, we will explore how to evaluate the expression (5 × 25 × 10^6) × (10^-12), which involves operations with exponents. We will break down the expression step by step and apply the rules of exponents to arrive at the final answer.
Evaluating the Expression
The given expression is:
(5 × 25 × 10^6) × (10^-12)
To evaluate this expression, we need to follow the order of operations (PEMDAS):
- Evaluate the expressions inside the parentheses.
- Multiply the two expressions.
Let's start by evaluating the expressions inside the parentheses.
(5 × 25 × 10^6)
= 5 × 25 × 10^6 = 125 × 10^6 = 125,000,000 (since 10^6 = 1,000,000)
Now, let's evaluate the second expression:
(10^-12)
= 1/10^12 = 1/1,000,000,000,000
Now that we have evaluated the expressions inside the parentheses, we can multiply them together:
125,000,000 × 1/1,000,000,000,000
To multiply these two numbers, we can convert the fraction to a decimal:
125,000,000 × 0.000000001
= 0.125
Final Answer
Therefore, the final answer is:
(5 × 25 × 10^6) × (10^-12) = 0.125
In conclusion, we have successfully evaluated the expression (5 × 25 × 10^6) × (10^-12) using the rules of exponents and the order of operations. The final answer is 0.125.
