Perform the operation and simplify the answer fully. (7)/(2x^(2))÷(3x^(3))/(7) Answer:

Write Reciprocal Division: Write the division of fractions as multiplication by the reciprocal. To divide by a fraction, you multiply by its reciprocal. The reciprocal of (3x^(3))/(7) is (7)/(3x^(3)).Set Up Multiplication: Set up the multiplication of the two fractions. (7)/(2x^(2)) * (7)/(3x^(3))Multiply Numerators and Denominators: Multiply the numerators and denominators separately. (7 * 7) / (2x^(2) * 3x^(3))Perform Multiplication: Perform the multiplication of the numerators and denominators. 49 / (6x^(2+3))Simplify Exponent: Simplify the exponent in the denominator by adding the powers of x. 49 / (6x^(5))

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Perform the operation and simplify the answer fully.

(7)/(2x^(2))÷(3x^(3))/(7)
Answer:

Perform the operation and simplify the answer fully. $\newline$ $\frac{7}{2 x^{2}} \div \frac{3 x^{3}}{7}$ $\newline$ Answer:

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Math Problems

Algebra 1

Multiplication with rational exponents

Full solution

Q. Perform the operation and simplify the answer fully.

\newline

\frac{7}{2 x^{2}} \div \frac{3 x^{3}}{7}

\newline

Answer:

Write Reciprocal Division: Write the division of fractions as multiplication by the reciprocal. $\newline$ To divide by a fraction, you multiply by its reciprocal. The reciprocal of $(3x^{3})/(7)$ is $(7)/(3x^{3})$ .
Set Up Multiplication: Set up the multiplication of the two fractions. $(\frac{7}{2x^{2}}) \times (\frac{7}{3x^{3}})$
Multiply Numerators and Denominators: Multiply the numerators and denominators separately. $\newline$ $(7 \times 7) / (2x^{2} \times 3x^{3})$
Perform Multiplication: Perform the multiplication of the numerators and denominators. $\frac{49}{6x^{(2+3)}}$
Simplify Exponent: Simplify the exponent in the denominator by adding the powers of $x$ . $\frac{49}{6x^{5}}$