Power of a Power

Q. Match the following.

1. $a^{m+n}$
2. $a^{m-n}$
3. $a^{mn}$

Q.

$a^m\times b^m=(ab{)}^m$

1. True

2. False

Q. The value of $(27\times 125{)}^{\frac{1}{3}}$ is __.

1. $35$
2. $25$
3. $51$
4. $15$

Q.

$({10}^2{)}^2$ = __.

Q.

If a = 2 and b = 3, find the value of $(a^b{)}^a$.

1. 64

2. 32

3. 128

4. 16

Q.

What is the value of ${\left(\right(2{)}^{-1})}^{-2}$?.Give your answer in numerals

__

Q. Express $343\times 243$ in exponential form:

1. $x^{m-n}$
2. $\sqrt[n]{n{x}^m}$
3. $\sqrt[m]{m{x}^n}$
4. $m.x^{1/n}$

Q. If '$x$' be any non-zero integer, then $x^0$ is equal to:

1. $0$
2. $1$
3. $-1$
4. Not defined

Q. Find the value of ${100}^{\frac{5}{2}}÷{100}^{-\frac{1}{2}}$.

1. ${10}^2$
2. ${10}^6$
3. ${10}^{-6}$
4. ${10}^4$

Q.

The value of $(3^0-2^0)\times 5^2$ is:

1. 0

2. 9

3. 1

4. 25