The value of $\Big[\Big\lbrace\Big(\dfrac{-1}{3}\Big)^{-2}\Big\rbrace^{-1}\Big]^{2}$ is

1. 81

2. -81

3. $\dfrac{1}{81}$

4. $-\dfrac{1}{81}$

The number 34613000 when expressed in exponential form is equal to

1. 3461.3 x 10³
2. 3.4613 x 10⁷
3. 0.34613 x 10⁹
4. 34.613 x 10⁵

Fill in the blanks :

(i) In an exponential form x^m; x is called the …………… .

(ii) We have : $\dfrac{a^m}{a^n} = \dfrac{1}{a^{n-m}}$ if …………… .

(iii) Any number to the power 0 is equal to …………… .

(iv) The exponential form is also called …………… .

(v) The reciprocal of x^a is equal to x to the power …………… .

State True or False :

(i) For any non-zero number a, we have (a^m)ⁿ = a^m+n.

(ii) If a and b are non-zero numbers, then $\Big\lbrace\Big(\dfrac{a}{b}\Big)^m\Big\rbrace^n = \Big(\dfrac{b}{a}\Big)^{-mn}$

(iii) For a non-zero number x; (x^m x xⁿ) is equal to x to the power (m + n).

(iv) If a number p is multiplied n times, then the resulting number is pⁿ.

(v) In an exponential notation xⁿ; n is called the index.