Exponent

Q.

If $a^x=b,b^y=cand{c}^z=a$ then $xyz=1$

1. False

2. True

Q.

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

1. Base

2. Constant

3. Exponent

4. Variable

Q.

Compare the following, and write which one is greater:

(iii) $4\times {10}^{14};3\times {10}^{17}$

Q.

Write the given expression in exponential form

$4x^3\times 9x^{2}y\times 5y^2$

Q. Match the following exponents with their simplified form

Q.

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

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

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

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

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

Q. $5^{-3}\times (-5{)}^{-3}=$

1. $-\frac{1}{{25}^3}$
2. $(-25{)}^{-3}$
3. $0$
4. ${25}^{-3}$

Q.

${\left(\right(2{)}^2)}^2\times (3^3÷4^2)÷3^2$ is equal to

1. 3

2. 27

3. 1

4. $\frac{12}{3}$

Q.

Each of the numbers 1, 2, 3 and 4 is substituted, in some order for p, q, r and s. The greatest possible value of $p^q+r^s$ is:

1. 81
2. 83
3. 82
4. 84

Q.

Exponent of the final value of $\frac{3^{-5}\times {10}^{-5}\times 125}{5^{-7}\times 6^{-5}}$ is :

1. $5^4$

2. $5^5$

3. $2^5$

4. $5^6$

Q.

Find the value of ($3^2$ + $4^{-1}$) $\times$ $2^2$

1. 37

2. 42

3. 5

4. 25

Q.

The value of $(1{)}^{-2}$ + ${\left(\frac{1}{2}\right)}^{-2}$ +${\left(\frac{1}{3}\right)}^{-2}$+ ${\left(\frac{1}{4}\right)}^{-2}$ is:

1. 28

2. 25

3. 60

4. 30

Q.

Write the exponent and the base in each of the following expressions :

${\left(\frac{2}{7}\right)}^4$

Q. The value of $p^3$ if $13p=69$

Q.

Write the exponent and the base in each of the following expressions :

${\left(-x\right)}^m$

Q.

Write the exponent and the base in each of the following expressions :

${\left(\frac{-a}{b}\right)}^4$

Q.

Find the value of ($3^0$ + $4^{-1}$) × $2^2$.

___

Q.

Write the exponent and the base in each of the following expressions :

${\left(-1\right)}^5$

Q.

Find the value of ($3^0$ + $4^{-1}$) × $2^2$. ___

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.

Write the exponent and the base in each of the following expressions :

${\left(\frac{-5}{6}\right)}^{12}$