Perform the operation and simplify the answer fully. (2x)/(3)*(3x^(2))/(10) Answer:

Multiply Numerators and Denominators: Multiply the numerators and denominators separately. We have the expression (2x)/(3) * (3x^(2))/(10). To simplify, we multiply the numerators together and the denominators together. (2x * 3x^(2)) / (3 * 10)Simplify Numerator Multiplication: Simplify the multiplication of the numerators. We multiply 2x by 3x^(2). When multiplying powers with the same base, we add the exponents. 2x * 3x^(2) = 2 * 3 * x^(1+2) = 6x^(3)Simplify Denominator Multiplication: Simplify the multiplication of the denominators. We multiply 3 by 10. 3 * 10 = 30Combine Numerator and Denominator: Combine the simplified numerator and denominator. Now we have the simplified numerator 6x^(3) and the simplified denominator 30. (6x^(3)) / (30)Reduce Fraction: Reduce the fraction by dividing both the numerator and the denominator by their greatest common divisor. The greatest common divisor of 6 and 30 is 6. (6x^(3)) / (30) = (6/6)x^(3) / (30/6) = x^(3) / 5

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Perform the operation and simplify the answer fully.

(2x)/(3)*(3x^(2))/(10)
Answer:

Perform the operation and simplify the answer fully. $\newline$ $\frac{2 x}{3} \cdot \frac{3 x^{2}}{10}$ $\newline$ Answer:

View step-by-step help

Home

Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

Q. Perform the operation and simplify the answer fully.

\newline

\frac{2 x}{3} \cdot \frac{3 x^{2}}{10}

\newline

Answer:

Multiply Numerators and Denominators: Multiply the numerators and denominators separately. $\newline$ We have the expression $(\frac{2x}{3}) \times (\frac{3x^{2}}{10})$ . To simplify, we multiply the numerators together and the denominators together. $\newline$ $(2x \times 3x^{2}) / (3 \times 10)$
Simplify Numerator Multiplication: Simplify the multiplication of the numerators. $\newline$ We multiply $2x$ by $3x^{2}$ . When multiplying powers with the same base, we add the exponents. $\newline$ $2x \times 3x^{2} = 2 \times 3 \times x^{1+2} = 6x^{3}$
Simplify Denominator Multiplication: Simplify the multiplication of the denominators. $\newline$ We multiply $3$ by $10$ . $\newline$ $3 \times 10 = 30$
Combine Numerator and Denominator: Combine the simplified numerator and denominator. $\newline$ Now we have the simplified numerator $6x^{3}$ and the simplified denominator $30$ . $\newline$ $\frac{6x^{3}}{30}$
Reduce Fraction: Reduce the fraction by dividing both the numerator and the denominator by their greatest common divisor. $\newline$ The greatest common divisor of $6$ and $30$ is $6$ . $\newline$ $(6x^{3}) / (30) = (6/6)x^{3} / (30/6) = x^{3} / 5$