simplify:
x^(3/2)(x + x^(5/2) - x^2)
add exponents when multiplying. For instance, the first term above
x^3/2 * x=x^3/2 * x^2/2=x^5/2
add exponents when multiplying. For instance, the first term above
x^3/2 * x=x^3/2 * x^2/2=x^5/2
ok, so would the answer be x^3
no. I will be happy to critique your work.
no. I will be happy to critique your work.
x^(3/2)(x + x^(5/2) - x^2)
x^(5/2) + (x^4 - x^(7/2))
x^3
Actually, the answer is x^5/2 + (x^4 - x^(7/2)).
To simplify the expression, we need to distribute the exponent of 3/2 to each term inside the parentheses.
x^(3/2)(x + x^(5/2) - x^2)
Using the rule of exponentiation, we multiply the exponents when raising one exponent to another one. In this case, x^(3/2) * x = x^(3/2 + 1) = x^(5/2).
So, the first term becomes x^(5/2).
The second and third terms do not have the same base, so we cannot simply add their exponents. Therefore, we leave them as separate terms.
The final simplified expression is x^(5/2) + (x^4 - x^(7/2)).