Perform the operation and simplify the answer fully. (x)/(5)*(3x^(3))/(5) Answer:

Write Expression: Write down the expression to be simplified. We have the expression (x)/(5)*(3x^(3))/(5).Multiply Numerators and Denominators: Multiply the numerators and denominators separately. When multiplying fractions, we multiply the numerators together and the denominators together. (x * 3x^(3)) / (5 * 5)Simplify Numerator: Simplify the multiplication of the numerators. To multiply x by 3x^(3), we add the exponents of x (since the bases are the same and we are multiplying). x^(1) * x^(3) = x^(1+3) = x^(4) So, the numerator becomes 3 * x^(4).Simplify Denominator: Simplify the multiplication of the denominators. The denominator is simply the multiplication of 5 by 5, which is 25.Combine Simplified Terms: Combine the simplified numerator and denominator. The simplified expression is (3 * x^(4)) / 25.Check for Common Factors: Check for any common factors that can be canceled out. Since there are no common factors between the numerator and the denominator, the expression is already fully simplified.

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.

(x)/(5)*(3x^(3))/(5)
Answer:

Perform the operation and simplify the answer fully. $\newline$ $\frac{x}{5} \cdot \frac{3 x^{3}}{5}$ $\newline$ 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{x}{5} \cdot \frac{3 x^{3}}{5}

\newline

Answer:

Write Expression: Write down the expression to be simplified. $\newline$ We have the expression $\frac{x}{5}\cdot\frac{3x^{3}}{5}$ .
Multiply Numerators and Denominators: Multiply the numerators and denominators separately. $\newline$ When multiplying fractions, we multiply the numerators together and the denominators together. $\newline$ $\frac{x \times 3x^{3}}{5 \times 5}$
Simplify Numerator: Simplify the multiplication of the numerators. $\newline$ To multiply $x$ by $3x^{3}$ , we add the exponents of $x$ (since the bases are the same and we are multiplying). $\newline$ $x^{1} \times x^{3} = x^{1+3} = x^{4}$ $\newline$ So, the numerator becomes $3 \times x^{4}$ .
Simplify Denominator: Simplify the multiplication of the denominators. $\newline$ The denominator is simply the multiplication of $5$ by $5$ , which is $25$ .
Combine Simplified Terms: Combine the simplified numerator and denominator. $\newline$ The simplified expression is $(3 \times x^{4}) / 25$ .
Check for Common Factors: Check for any common factors that can be canceled out. Since there are no common factors between the numerator and the denominator, the expression is already fully simplified.