What is the value of x.
2x times 2 to the 4th power divided by 2 to the 3rd power equal 2 to the sixth power
I read it as:
(2x)(2^4)/(2^3) = 2^6
2x(2) = 64
x = 16
To find the value of x in the equation, we can solve it step by step.
The equation is: 2x * 2^4 / 2^3 = 2^6
First, let's simplify the exponents on both sides of the equation:
2x * 2^4 = 2^6 * 2^3
Now, we can simplify the exponents on the right side by adding them:
2x * 2^4 = 2^9
Next, simplify both sides of the equation using the properties of exponents:
2x * 16 = 512
Multiply 2x by 16:
32x = 512
To solve for x, divide both sides of the equation by 32:
x = 512 / 32
Simplifying the division:
x = 16
Therefore, the value of x in the equation is 16.