what is the simplified form of this expression 5x(2x2 to the second power)
10x3
20x2
10x2
100x4
i think its c
Is that 5x[(2x^2)^2]?
It is C if you meant 5*2x^2
Try not to confuse x (the variable) with x (multiplication)
Use
* to multiply
^ for powers
To simplify the expression 5x(2x^2)^2, we need to simplify the exponent first, and then perform the multiplication.
First, let's simplify the exponent (2x^2)^2. To do this, we need to square both the base and the exponent.
The base is 2x^2. Squaring this will give us (2x^2) * (2x^2) = 4x^4.
Now, we have the expression 5x * 4x^4. To simplify this further, we multiply the coefficients (numbers) together and add the exponents of the variables (x).
The coefficient of 5x is 5, and the coefficient of 4x^4 is 4. Multiplying the coefficients gives us 5 * 4 = 20.
For the variable x, we add the exponents. In this case, the exponent of x is 1 (since x is equivalent to x^1), so x^1 * x^4 = x^5.
Putting it all together, the simplified form of the expression 5x(2x^2)^2 is 20x^5. Therefore, the correct answer is 20x^5.