Question

Rewrite the expression (3a^2b^3c^5)/(8x^4y^3z)so that it has no denominator. (note: do not use a fraction line in your answer. also, use ' ' for multiplication between numbers. )

Answer 1

The expression simplifies to
`(3/8)*(a^2-1)*(b^3-3)*(c^5)/(x^4)*(y^3-1)*(z^1).`

Step-by-step explanation:

To rewrite the expression (3a^2b^3c^5)/(8x^4y^3z) without a denominator, we need to eliminate the fraction. This can be done by multiplying the numerator and denominator by the reciprocal of the denominator.

The expression becomes
`(3a^2b^3c^5)*(1/(8x^4y^3z)).`

Next, we can simplify the expression by multiplying the numerators together and multiplying the denominators together.

This gives us
`(3/8)*(a^2b^3c^5)/(x^4y^3z).`

The final step is to simplify the expression by dividing the coefficients and subtracting the exponents of the variables.

The expression simplifies to
`(3/8)*(a^2-1)*(b^3-3)*(c^5)/(x^4)*(y^3-1)*(z^1).`