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
`(5^(2) * 4x^(3))/(4)`.

→ first, calculate the power of
`5x^(2)`.
`5x^(2) = 25`, so now we have
`(25^(2) * 4x^(3))/(4)`

→ now, multiply the monomials.
`25 * 4x^(3) = 100x^(3)`.

→
`(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

5x^5

Explanation:

5x^2*4x^3/4

Divide

5x^2*1x^3

Multiply and Calculate

5x^5