Perform the operation and simplify the answer fully. (5x)/(7)*(4x^(2))/(5) Answer:

Multiply Fractions: Multiply the numerators and denominators separately. We have two fractions being multiplied together. When multiplying fractions, we multiply the numerators (top numbers) together and the denominators (bottom numbers) together. (5x)/(7) * (4x^(2))/(5) = (5x * 4x^(2)) / (7 * 5)Simplify Numerators: Simplify the multiplication of the numerators. To multiply the numerators, we multiply the coefficients (5 and 4) and add the exponents of x (1 and 2) since they have the same base. 5x * 4x^(2) = 20x^(1+2) = 20x^(3)Simplify Denominators: Simplify the multiplication of the denominators. The denominators are just numbers, so we multiply them together. 7 * 5 = 35Combine Fraction: Combine the simplified numerator and denominator. Now we put together the simplified numerator and denominator to form the new fraction. (20x^(3)) / (35)Cancel Common Factors: Simplify the fraction by canceling out common factors. We notice that both the numerator and the denominator have a common factor of 5. We can divide both by 5 to simplify the fraction. (20x^(3)) / (35) = (4x^(3)) / (7)

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Perform the operation and simplify the answer fully.

(5x)/(7)*(4x^(2))/(5)
Answer:

Perform the operation and simplify the answer fully. $\newline$ $\frac{5 x}{7} \cdot \frac{4 x^{2}}{5}$ $\newline$ Answer:

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Algebra 1

Multiplication with rational exponents

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Q. Perform the operation and simplify the answer fully.

\newline

\frac{5 x}{7} \cdot \frac{4 x^{2}}{5}

\newline

Answer:

Multiply Fractions: Multiply the numerators and denominators separately. $\newline$ We have two fractions being multiplied together. When multiplying fractions, we multiply the numerators (top numbers) together and the denominators (bottom numbers) together. $\newline$ $(\frac{5x}{7}) \times (\frac{4x^{2}}{5}) = \frac{5x \times 4x^{2}}{7 \times 5}$
Simplify Numerators: Simplify the multiplication of the numerators. $\newline$ To multiply the numerators, we multiply the coefficients $5$ and $4$ and add the exponents of $x$ $(1$ and $2)$ since they have the same base. $\newline$ $5x \times 4x^{2} = 20x^{1+2} = 20x^{3}$
Simplify Denominators: Simplify the multiplication of the denominators. $\newline$ The denominators are just numbers, so we multiply them together. $\newline$ $7 \times 5 = 35$
Combine Fraction: Combine the simplified numerator and denominator. $\newline$ Now we put together the simplified numerator and denominator to form the new fraction. $\newline$ $\frac{20x^{3}}{35}$
Cancel Common Factors: Simplify the fraction by canceling out common factors. $\newline$ We notice that both the numerator and the denominator have a common factor of $5$ . We can divide both by $5$ to simplify the fraction. $\newline$ $\frac{20x^{3}}{35}$ = $\frac{4x^{3}}{7}$