Multiply. Simplify your answer. 7hj/14h^2j^2 * 8h^2 ______

Write Problem & Identify Terms: Write down the problem and identify the terms that can be simplified. We have the expression (7hj)/(14h^2j^2) * 8h^2. We can simplify by canceling out common factors in the numerator and the denominator.Cancel Common Factors: Cancel out the common factors. The h in the numerator can cancel with one h from h^2 in the denominator, and the j in the numerator can cancel with one j from j^2 in the denominator. Also, the 7 in the numerator can be divided by 14 in the denominator to simplify further.Perform Simplification: Perform the simplification. (7/14) reduces to 1/2, h/h^2 reduces to 1/h, and j/j^2 reduces to 1/j. So, we have (1/2) * (1/h) * (1/j) * 8h^2.Multiply Remaining Terms: Multiply the remaining terms. We have (1/2) * (1/h) * (1/j) * 8h^2 = (8/2) * h^2/h * 1/j = 4h * 1/j = 4h/j.

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Math Problems

Algebra 1

Multiply and divide rational expressions

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Q. Multiply. Simplify your answer.

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\frac{7hj}{14h^2j^2} \times 8h^2

Write Problem & Identify Terms: Write down the problem and identify the terms that can be simplified. We have the expression $(7hj)/(14h^2j^2) \times 8h^2$ . We can simplify by canceling out common factors in the numerator and the denominator.
Cancel Common Factors: Cancel out the common factors. The $h$ in the numerator can cancel with one $h$ from $h^2$ in the denominator, and the $j$ in the numerator can cancel with one $j$ from $j^2$ in the denominator. Also, the $7$ in the numerator can be divided by $14$ in the denominator to simplify further.
Perform Simplification: Perform the simplification. $(\frac{7}{14})$ reduces to $(\frac{1}{2})$ , $\frac{h}{h^2}$ reduces to $(\frac{1}{h})$ , and $\frac{j}{j^2}$ reduces to $(\frac{1}{j})$ . So, we have $(\frac{1}{2}) \times (\frac{1}{h}) \times (\frac{1}{j}) \times 8h^2$ .
Multiply Remaining Terms: Multiply the remaining terms. We have $(\frac{1}{2}) \times (\frac{1}{h}) \times (\frac{1}{j}) \times 8h^2 = (\frac{8}{2}) \times \frac{h^2}{h} \times \frac{1}{j} = 4h \times \frac{1}{j} = \frac{4h}{j}$ .