Perform the operation and simplify the answer fully. (9)/(5x^(3))*(x)/(6) Answer:

Multiply Fractions: Multiply the numerators and denominators separately. We have two fractions that we are multiplying together. When multiplying fractions, we multiply the numerators (top numbers) together and the denominators (bottom numbers) together. (9)/(5x^(3)) * (x)/(6) = (9 * x) / (5x^(3) * 6)Combine Like Terms: Simplify the expression by combining like terms. In the numerator, we have 9 multiplied by x, which is 9x. In the denominator, we have 5x^(3) multiplied by 6, which is 30x^(3). So, (9 * x) / (5x^(3) * 6) = (9x) / (30x^(3))Reduce Fraction: Reduce the fraction by canceling common factors. We can see that both the numerator and the denominator have a common factor of x. We can cancel one x from the numerator and one x from the denominator. Also, we can simplify the coefficients by dividing both 9 and 30 by their greatest common divisor, which is 3. (9x) / (30x^(3)) = (3x) / (10x^(2)) Now cancel the x from the numerator and denominator. (3x) / (10x^(2)) = 3 / (10x)Write Final Expression: Write the final simplified expression. The expression is now fully simplified, and there are no common factors that can be canceled. The final simplified expression is 3 / (10x).

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Perform the operation and simplify the answer fully.

(9)/(5x^(3))*(x)/(6)
Answer:

Perform the operation and simplify the answer fully. $\newline$ $\frac{9}{5 x^{3}} \cdot \frac{x}{6}$ $\newline$ 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{9}{5 x^{3}} \cdot \frac{x}{6}

\newline

Answer:

Multiply Fractions: Multiply the numerators and denominators separately. $\newline$ We have two fractions that we are multiplying together. When multiplying fractions, we multiply the numerators (top numbers) together and the denominators (bottom numbers) together. $\newline$ $(\frac{9}{5x^{3}}) \times (\frac{x}{6}) = \frac{9 \times x}{5x^{3} \times 6}$
Combine Like Terms: Simplify the expression by combining like terms. $\newline$ In the numerator, we have $9$ multiplied by $x$ , which is $9x$ . In the denominator, we have $5x^{3}$ multiplied by $6$ , which is $30x^{3}$ . $\newline$ So, $(9 \times x) / (5x^{3} \times 6) = (9x) / (30x^{3})$
Reduce Fraction: Reduce the fraction by canceling common factors. $\newline$ We can see that both the numerator and the denominator have a common factor of $x$ . We can cancel one $x$ from the numerator and one $x$ from the denominator. Also, we can simplify the coefficients by dividing both $9$ and $30$ by their greatest common divisor, which is $3$ . $\newline$ $(9x) / (30x^{3}) = (3x) / (10x^{2})$ $\newline$ Now cancel the $x$ from the numerator and denominator. $\newline$ $(3x) / (10x^{2}) = 3 / (10x)$
Write Final Expression: Write the final simplified expression. $\newline$ The expression is now fully simplified, and there are no common factors that can be canceled. $\newline$ The final simplified expression is $\frac{3}{10x}$ .