Question

What is 5x to the power of 2 times 4x to the power of 3 divided by 4

Answer 1

answer: $25x^{3}$

steps to solve:

→ let's write this out as an equation instead of in word form. 5x to the power of 2 times 4x to the power of 3 divided by 4 is $\frac{5^{2} * 4x^{3}}{4}$.

→ first, calculate the power of $5x^{2}$. $5x^{2} = 25$, so now we have $\frac{25^{2} * 4x^{3}}{4}$

→ now, multiply the monomials. $25 * 4x^{3} = 100x^{3}$.

→ $\frac{100x^{3}}{4}$. we need to cross out the common factor, which is 4. 100 divided by 4 is 25. we're now left with $25x^{3}$.

so, $25x^{3}$ is the answer

Answer 2

Answer:

5x^5

Step-by-step explanation:

5x^2*4x^3/4

Divide

5x^2*1x^3

Multiply and Calculate

5x^5