To find the value of 8x×2x when x equals 6, we can substitute the value of x into the expression and calculate the result.
8x×2x = 8(6)×2(6)
Simplifying the expression, we have:
8(6)×2(6) = 48×12
Multiplying 48 by 12 gives us the answer:
48×12 = 576
So, **the value of 8x×2x when x equals 6 is 576**.
FAQs:
1. What does the expression 8x×2x represent?
The expression 8x×2x represents the product of 8 multiplied by x, and then that result multiplied by 2x.
2. How do we calculate the value of an expression with a variable?
To find the value of an expression with a variable, we substitute the given value of the variable into the expression and perform the necessary calculations.
3. Can we directly substitute the value of x into the expression?
Yes, we can substitute the value of x into the expression directly as long as we replace every instance of x with the given value.
4. What is the value of x in this case?
In this case, x equals 6 as given in the question.
5. How do we simplify the expression?
To simplify the expression, we multiply the numbers outside the brackets by the numbers inside the brackets.
6. Can we use a calculator to calculate the final result?
Yes, a calculator can be used to calculate the product of two numbers, such as 48 and 12.
7. What is the significance of substituting x with 6?
By substituting x with 6, we are considering a specific value of the variable in the expression to find a concrete answer.
8. Does the value of x affect the result?
Yes, the value of x directly affects the result. Changing the value of x will yield a different outcome for the expression.
9. Can we simplify the expression further?
No, the expression 48×12 cannot be further simplified. It is already in its simplest form.
10. Why is it important to clearly state the value of x?
Stating the value of x is crucial to avoid any confusion and to obtain an accurate result for the expression.
11. What happens if x is a negative number?
If x is a negative number, the result of the expression will still be valid. The rules of multiplication apply regardless of the sign of the number.
12. Can we use this expression to solve real-life problems?
Yes, expressions like 8x×2x can be used to solve various real-life problems, such as calculating areas, volumes, and other mathematical quantities. However, in real-life scenarios, the value of x would represent a meaningful variable rather than a simple number like 6.