Positive and Negative Indices

Q.

If ${}^{15}C_{3r}={}^{15}C_{r+3}$ then the value of $r$ is

1. $3$

2. $4$

3. $5$

4. $8$

Q.

Which one among the following is correct?

1. = a

2. =

3. =

4. =

Q.

The exponential form of $\frac{1}{8}\times 3^{-3}$ is given by which of the following expressions?

1. $3^{-6}$

2. $6^{-3}$

3. $4^{-2}$

4. $5^{-3}$

Q.

Evaluate:
$[64{]}^{\frac{2}{3}}$

1. 49500

2. 495000

3. 4950000

4. 4950

Q.

a $\times$ $a^{-1}$ = 1

1. False

2. True

Q.

Simplify :$(\frac{1}{6^{-2}}-\frac{1}{3^{-3}})÷\frac{1}{5^{-2}}$

1. $(\frac{3}{5}{)}^2$

2. $(\frac{9}{25}{)}^2$

3. $(\frac{5}{3}{)}^2$

4. $(\frac{25}{9}{)}^2$

Q. The standard notation of 1650000 is given by .

1. $1.65\times {10}^{13}$
2. $16.5\times {10}^8$
3. $1650\times {10}^7$
4. $1.65\times {10}^6$

Q. While expressing $\frac{1}{8}$ in exponential form, the base is and the exponent is .

1. 2
2. -2
3. 3
4. -3

Q. Expanded form of $243.7=(2\times {10}^2)+(4\times {10}^1)+$ + $(7\times {10}^{-1}$)

1. $(4\times {10}^1)$
2. $(3\times {10}^1)$
3. $(3\times {10}^0)$
4. $(3\times {10}^2)$

Q.

Find the value of $7^{-3}$.

1. $343$

2. $\frac{1}{343}$

3. $49$

4. $\frac{1}{49}$

Q.

Find the value of $7^{-3}$.

1. $\frac{1}{21}$

2. $343$

3. $\frac{1}{343}$

4. $\frac{1}{49}$

Q.

The exponential form of $\frac{1}{8}\times 3^{-3}$ is given by which of the following expressions?

1. $6^{-3}$

2. $4^{-2}$

3. $3^{-6}$

4. $5^{-3}$