Question

sederhanakan bentuk pangkat berikut
a. p⁵ x (pxq)³ (1/p²xq)
b. -4m³ x 2n⁵ per 8m per n

tolong dong kakak2 yang baik hati, makasih ​

Answer 1

SOAL A.

• [tex]{p}^{5} \times {(p \times q)}^{3} \times (\frac{1}{ {p}^{2} \times q})[/tex]
• [tex]= {p}^{5} \times ({p}^{3} \times {q}^{3}) \times (\frac{1}{ {p}^{2} \times q})[/tex]
• [tex]= \frac{{p}^{5} \times {p}^{3} \times {q}^{3}}{{p}^{2} \times q} [/tex]
• [tex]= \frac{{p}^{5 + 3} \times {q}^{3}}{{p}^{2} \times q} [/tex]
• [tex]= \frac{{p}^{8} \times {q}^{3}}{{p}^{2} \times q} = {p}^{8 - 2} \times {q}^{3 - 1} = {p}^{6} \times {q}^{2} [/tex]

SOAL B.

• [tex]\frac{({ - 4m}^{3} \times {2n}^{5})}{(\frac{8m}{n})} = ({ - 4m}^{3} \times {2n}^{5}) \times (\frac{n}{8m})[/tex]
• [tex]= \frac{{ - 4m}^{3} \times {2n}^{5} \times n}{8m} [/tex]
• [tex]= \frac{{ - 4m}^{3} \times {2n}^{5 + 1}}{8m} [/tex]
• [tex]= \frac{{ - 4m}^{3} \times {2n}^{6}}{8m} [/tex]
• [tex]= \frac{( - 4 \times 2) \times {m}^{3} \times {n}^{6}}{8m} [/tex]
• [tex]= \frac{{ - 8m}^{3} \times {n}^{6}}{8m} [/tex]
• [tex]= ( - 1) {m}^{3 - 1} \times {n}^{6} = { - m}^{2} \times {n}^{6} [/tex]