x(2x10%5E4)-in-standard-form.jpeg "(4x10^5)x(2x10^4) In Standard Form")
** Evaluating the Expression (4x10^5)x(2x10^4) in Standard Form **
When working with exponential expressions, it's essential to understand how to multiply and evaluate them correctly. In this article, we'll explore how to evaluate the expression (4x10^5)x(2x10^4) in standard form.
Understanding the Expression
The given expression is a product of two exponential expressions:
(4x10^5) and (2x10^4)
To evaluate this expression, we need to follow the rules of exponentiation.
Rule of Exponentiation
When multiplying exponential expressions with the same base (in this case, 10), we add the exponents:
a^m × a^n = a^(m+n)
Evaluating the Expression
Let's apply the rule of exponentiation to our expression:
(4x10^5) × (2x10^4) = ?
First, we multiply the coefficients (numbers):
4 × 2 = 8
Next, we add the exponents:
5 + 4 = 9
So, our expression becomes:
8 × 10^9
Standard Form
To write the expression in standard form, we need to ensure that the coefficient is a number between 1 and 10, and the exponent is an integer.
In this case, our expression is already in standard form:
8 × 10^9
Final Answer
The final answer is:
(8 × 10^9)
