Question

simplify: 1) x¹² /x7
2) z6 / z-³
3) m 5 n3 / m2n-⁴
4) 7a¹² ÷ 56 a15​

Answer 1

Answer:

X^5

Z^9

M^3n^7

1/8a^3

Answers if have any doubts send me ur doubts i can clarify .

Step-by-step explanation:

Answer 2

Step-by-step explanation:

1. $\frac{x¹²}{x^{7}}$

= $x¹²× x^{(-7)}$

= $x^{[12+(-7)]}$

= $x^{(12-7)}$

= $x^{5}$

2. $\frac{z^{6}}{z^{3}}$

= $z^{6}×z^{3}$

= $z^{(6+3)}$

= $z^{9}$

3. $\frac{m^{5}n^{3}}{m^{2}n^{-4}}$

= $\frac{m^{5}×n^{3}}{m^{2}×n^{(-4)}}$

= $m^{5}×n^{3}×m^{(-2)}×n^{4}$

= $m^{[5+(-2)]}×n^{(3+4)}$

= $m^{3}×n{7}$

= $m^{3}n^{7}$

4. $\frac{7a^{12}}{56a^{15}}$

= $\frac{7×a^{12}}{56×a^{15}}$

= $\frac{7}{56}×a^{12}×a^{(-15)}$

= $\frac{1}{8}×a^{(12-15)}$

= $\frac{1}{8}×a^{(-3)}$

= $\frac{1}{8a^{3}}$