Question

hi...............pls solve steps by step ............ ​

Answer 1

Step-by-step explanation:

(ix) ${\sf{\ \ {\dfrac{2^8 \times a^5}{4^3 \times a^3}} }}$

${\sf{\Rightarrow{\dfrac{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times a^5}{4 \times 4 \times 4 \times a^3}}}}$

${\sf{\Rightarrow{\dfrac{(2 \times 2) \times (2 \times 2) \times (2 \times 2) \times (2 \times 2) \times a^5}{4 \times 4 \times 4 \times a^3}}}}$

${\sf{\Rightarrow{\dfrac{4 \times 4 \times 4 \times 4 \times a^5}{4 \times 4 \times 4 \times a^3}}}}$

${\sf{\Rightarrow{\dfrac{{\cancel{4}} \times {\cancel{4}} \times {\cancel{4}} \times 4 \times a^5}{{\cancel{4}} \times {\cancel{4}} \times {\cancel{4}} \times a^3}}}}$

${\sf{\Rightarrow{\dfrac{4 \times a^5}{a^3}}}}$

• ${\boxed{\sf{\red{Identity \ : \ {\dfrac{a^m}{a^n}} = a^{m - n} }}}}$

${\sf{\Rightarrow 4 \times a^{5 - 3}}}$

${\sf{\green{\Rightarrow 4 \times a^2}}}$

${\rule{200}{1}}$

(xii) ${\sf{(2^3 \times 2)^2}}$

• ${\boxed{\sf{\red{Identity \ : \ a^m \times a^n = a^{m + n}}}}}$

${\sf{\Rightarrow (2^{3 + 1})^2}}$

${\sf{\Rightarrow (2^4)^2}}$

• ${\boxed{\sf{\red{Identity \ : \ (a^m)^n = a^{mn}}}}}$

${\sf{\Rightarrow 2^{4 \times 2}}}$

${\sf{\green{\Rightarrow 2^8}}}$

Answer 2

Answer:

6)

Step-by-step explanation:

6) 2*2*2*2*2*2*2*2*a*a*a*a*a/4*4*4*a*a*a

2*2*a*a

4a^2