Question

Simplify the algebraic expression. Assume all variables are positive. 3x^(3)*x^((3)/(4))

Answer 1

To simplify 3x^(3)*x^((3)/(4)), multiply the coefficients and add the exponents. The simplified expression is 3 * x^((15)/(4)).

Step-by-step explanation:

To simplify the algebraic expression 3x^(3)*x^((3)/(4)), we need to multiply the coefficients and add the exponents of the variable.

3x^(3)*x^((3)/(4))

= 3 * x^(3+3/4) (using the rule of multiplying coefficients and adding exponents)

= 3 * x^((12+3)/(4)) (combining the exponents)

= 3 * x^((15)/(4))

Therefore, the simplified expression is 3 * x^((15)/(4)).