Question

Write the answer in lowest tern (3x²)/(5)*(30)/(x³)

Answer 1

The expression (3x²)/(5) × (30)/(x³) simplifies to 18/x by canceling common factors and reducing the fraction.

Step-by-step explanation:

To write the expression (3x²)/(5) × (30)/(x³) in lowest terms, we need to simplify it by canceling common factors and applying exponent rules. First, multiply the numerators and denominators separately:

(3x² × 30) / (5 × x³) = (90x²) / (5x³).

Now, divide by the common factors. In this case, 90 is divisible by 5, and x² is a common factor in both the numerator and the denominator. Simplifying, we get:

90/5 = 18 and x²/x³ = 1/x.

Thus, the simplified form of the initial expression is 18/x.