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Otrada [13]
2 years ago
7

Directions:Use the product rule to simplify the following monomials.

Mathematics
2 answers:
katen-ka-za [31]2 years ago
8 0

<u>Question :</u>

❖ Use the product rule to simplify the following monomials.

\\  \tt \: 19.  \: ( - 15x {y}^{4} ). \bigg( -  \frac{1}{3} x {y}^{3}  \bigg)  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \\  \\   = \tt\bigg[( - 15) \times  \bigg(  - \frac{1}{3}  \bigg)  \bigg] {x}^{(1 + 1)} . {y}^{(4 + 3)}  \\  \\  \tt = 5 {x}^{2}  {y}^{7 \ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }  \\  \\  \\

\\  \tt20. \:  \:   \tt (  5 {a}^{2}  {bc}^{3} ). \bigg(   \frac{1}{5} a {bc}^{4}  \bigg)   \tt   \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \\  \\   = \tt\bigg[5 \times  \frac{1}{5}   \bigg] {a}^{(2 + 1)} . {b}^{(1 + 1)} . {c}^{(3 + 4)}  \\  \\  \tt =  {a}^{3} {b}^{2}   {c}^{7 \ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: }  \\  \\  \\

\\ \tt \:21. \:  \:   \frac{1}{3} (2a³b)(6b³) \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\  \tt =  \frac{1}{3}  \times (2 \times 6) {a}^{3} . {b}^{(1 + 3)} \\  \\  \tt =  \frac{1} { \cancel{3}}  \times \cancel{ 12} \:  ({a}^{3} {b}^{4}) \:  \:  \:  \\  \\  \tt = 4{a}^{3} {b}^{4} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\  \\

sattari [20]2 years ago
5 0

Answer:

19. 5x²y⁷

20. a³b²c⁷

21. 4a³b⁴

Step-by-step explanation:

hope i helped! good luck in class!!

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