Use the power rules for exponents to simplify the expression. Give your answer in exponential form.

Question

2x^2*4x^3

Answer 1

To simplify the expression \(2x^2 \cdot 4x^3\), you can follow these steps:

1. Multiply the coefficients (the numbers in front of the variables).
2. Use the power rule for exponents which states that when multiplying like bases, you add the exponents.

Now let's do the calculations:

1. Multiply the coefficients: \[ 2 \cdot 4 = 8 \]

2. Combine the \(x\) terms using the power rule: \[ x^2 \cdot x^3 = x^{2+3} = x^5 \]

Putting it all together, we have: \[ 2x^2 \cdot 4x^3 = 8x^5 \]

Thus, the simplified expression in exponential form is: \[ \boxed{8x^5} \]