Exponent Numbers with Different Base and Same Power

Q.

In $2^n$, n is known as:

1. exponent

2. constant

3. power

4. base

Q.

​If $8^{100}\times m^{100}={56}^{100}$, then find the value of m.

1. 6

2. 5

3. 4

4. 7

Q. $\frac{a^n}{b^n}=$ _____

1. $(\frac{a}{b}{)}^n$
2. $\frac{a^n}{b}$
3. $(\frac{a}{b}{)}^{-n}$
4. $\frac{a}{b^n}$

Q.

The value of $(729{)}^{\frac{1}{3}}\times (64{)}^{\frac{1}{3}}$ is

1. 30

2. 36

3. 20

4. 18

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.

Find the value of $5^3\times 2^3$.

1. ${10}^3$

2. 1

3. 10

4. 1000

Q. Simplify by using the law of exponents.
(i) $7^6\times 3^6$
(ii) $4^3\times 2^3\times 5^3$$\left[2\right]$

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. $2^5\times 4^5$ =

1. $8^5$
2. $8^{-5}$
3. ${24}^5$
4. -$8^5$

Q. ${(-2)}^4\times {\left(3\right)}^4$ = .

1. ${(-6)}^4$
2. $-{24}^4$
3. - ${12}^4$
4. - 1296

Q.

​If $8^{100}\times m^{100}={56}^{100}$, then find the value of m.

1. 6

2. 7

3. 4

4. 5

Q. $2^3\times 7^3$ is equal to____.

1. ${14}^3$
2. $(2\times 7{)}^3$
3. $(\frac{1}{14}{)}^3$
4. $(2\times 7{)}^{-3}$

Q.

​If $8^{100}\times m^{100}={56}^{100}$, then find the value of m.

1. 6

2. 5

3. 4

4. 7