Question

Complete the following table by using the rules of exponent:

Sr. No.	Form of Exponent	Repeated multiplication	Result
1)	$a^2\times a^3$	....................	$a^{2+3}=a^5$
2)	$2^5÷2^3$	.....................	$2^2=4$
3)	....................	$\frac{x\times x\times x}{x\times x\times x\times x}$	$\frac{1}{x}$
4)	${(}_2{)}^3÷(-2{)}^3$	$\frac{(-2)\times (-2)\times (-2)}{(-2)\times (-2)\times (-2)}$	....................
5)	$(m^2{)}^3$	$m^2\times m^2\times m^2$	....................
6)	....................	$2x\times 2x\times 2x$	$2^3\times x^3$
7)	${\left(\frac{7}{b}\right)}^3$	....................	$\frac{7^3}{b^3}$

Answer 1

(1) $(a\times a)\times (a\times a\times a)$ (2) $\frac{2\times 2\times 2\times 2\times 2}{2\times 2\times 2}$

(3) $x^3÷x^4$ (4) $1$

(5) $m^6$ (6) $(2x{)}^3$

(7) $\frac{7}{b}\times \frac{7}{b}\times \frac{7}{b}$