Exponent of Exponent

Q.

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

1. 16

2. 32

3. 64

4. 128

Q.

If $m$ and $n$ are integers, $a$ is a non-zero integer and $a^m$ × $a^n$ =$a^x$, then the value of $x$ is _____.

1. $m+n$
2. $mn$
3. $m-n$
4. $\frac{m}{n}$

Q.

Using laws of exponents, simplify and write the answer in exponential form:

${\mathrm{a}}^4\times {\mathrm{b}}^4$

Q. Find the value of $(2^3{)}^2$

1. $2^5$
2. $2^1$
3. 32
4. 64

Q.

Simplify: $(a^2+5)(b^3+3)+5$

Q. $(5^{-2}{)}^{-3}$ can be expressed as

1. $5^6$
2. $5^{-6}$
3. $5^{-5}$
4. $5^5$

Q. Using laws of exponents, simplify and write the answer in exponential form:
$a^3\times a^2$

Q.

$\frac{1}{x^{-7}}=x^7$. State whether true or false.

1. True

2. False

Q. $a^m\times a^m\times a^m\times a^m......$n times =$a^{mn}$

1. True
2. False

Q. If $a=(\frac{2}{5}{)}^2÷(\frac{9}{5}{)}^0$, then find the value of $a^{-3}$.

1. $\frac{125}{12}$
2. $(\frac{5}{2}{)}^5$
3. $(\frac{125}{8}{)}^2$
4. $(\frac{125}{2}{)}^{-6}$

Q.

$3^7\times \frac{9^4}{3^2}=$_____________

1. 3¹³

2. 3⁹

3. 3¹²

4. 3³

Q.

Evaluate ${(-1)}^{530}$.

Q.

Use the law of exponents to rewrite and simplify the expression.

$x{\left(3x^2\right)}^3$

Q. Simplify $(a^m{)}^3$

1. $a^{mn}$
2. $a^{3m}$
3. $a^{m+3}$
4. None of these

Q. Using laws of exponents, simplify and write the answer in exponential form:
${\left(3^4\right)}^3$

Q.

Simplify the following :

${\left(\frac{-3}{4}\right)}^3\times \left[\frac{16}{27}-{\left(\frac{2}{3}\right)}^3\right]$.

Q. The usual from for $2.03\times {10}^{-5}$

1. $0.00203$
2. $0.203$
3. $203000$
4. $0.0000203$

Q.

Simplify ${\left(3^3\right)}^2\times 5^2$

Q. Using laws of exponents, simplify and write the answer in exponential form:
$a^4\times b^4$

Q. Find the value of x, if $(\frac{5^x}{5^3}{)}^2=5^{15}$.

1. $\frac{25}{2}$
2. $\frac{23}{2}$
3. $\frac{21}{2}$
4. $\frac{21}{3}$

Q.

Simplify $6^3\times 6^4\times 6^2$ and write as a single exponent.

Q. The value of $\left(\right(\frac{3}{2}{)}^{-1}{)}^{-2}$ is _____.

1. $\frac{4}{9}$
2. $\frac{9}{4}$
3. $\frac{4}{4}$
4. $\frac{9}{9}$

Q. Evaluate $(1^3+2^3+3^3+4^3{)}^{\frac{-3}{2}}.$

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

Q. What is the value of $(5^2{)}^2+(2^2{)}^3$ ?

1. 658
2. 689
3. 698
4. 589

Q. The value of $(2^2{)}^2+(3^2{)}^2$=.

1. 97
2. 98
3. 79
4. 99

Q. $\left(\right(5{)}^2{)}^{-2}=5^{-4}$

1. False
2. True