a^m x b^m = (ab)^m

Q.

The value of $3\times (5{)}^{\frac{1}{3}}\times 7\times (10{)}^{\frac{1}{3}}\times 5\times (20{)}^{\frac{1}{3}}$

1. 1050

2. 1005

3. 1500

4. 950

Q.

The value of $(343{)}^{\frac{1}{3}}\times (64{)}^{\frac{1}{3}}$ is

1. - 18

2. - 28

3. 18

4. 28

Q.

The value of $3\times (2{)}^{\frac{1}{3}}\times 7\times (6{)}^{\frac{1}{3}}\times 5\times (18{)}^{\frac{1}{3}}$ is

1. 545

2. 500

3. 630

4. 400

Q.

Evaluate $(3x^2{)}^{-3}\times (x^9{)}^{\frac{2}{3}}$

1. $\frac{-1}{9}$

2. $\frac{1}{9}$

3. $\frac{-1}{27}$

4. $\frac{1}{27}$

Q.

Simplify and express in exponential form: $\frac{3^{-5}\times {10}^{-5}\times 125}{5^{-7}\times 6^{-5}}$ is :

1. $5^4$

2. $5^5$

3. $2^5$

4. $5^6$

Q.

Find the value of $3^4\times 2^4$

1. 1200

2. 1296

3. 216

4. 1286

Q.

Which of the given options represents the exponential form of $\frac{1}{8}\times (3{)}^{-3}$ ?

1. $6^3$

2. $6^{-3}$

3. $3^{-6}$

4. $3^6$

Q. Find the value of ${(-2)}^4\times {\left(3\right)}^4$.

1. ${(-6)}^4$
2. $6^4$
3. - $6^4$
4. - 1296

Q.

If $m\ne n$ then $(m+n{)}^{-1}\times (m^{-1}+n^{-1})=$ ______

1. 0

2. $mn$

3. $m^{-1}{n}^{-1}$

4. $m^{-2}{n}^{-2}$

Q.

Evaluate:- $(3x^4{)}^{-2}\times (x^{12}{)}^{\frac{2}{3}}$

1. $\frac{-1}{9}$

2. $\frac{-1}{27}$

3. $\frac{1}{9}$

4. $\frac{1}{27}$