Power

Q.

Express $\frac{1}{32}$ in exponential form

1. $2^5$

2. $2^{-5}$

3. $2^{-4}$

4. $2^4$

Q. Exponential Form of $2\times 2\times 3\times 3\times 3\times 5\times 5\times 5$

1. $2^2\times 3^2\times 5^2$
2. $2^3\times 3^3\times 5^2$
3. $2^2\times 3^3\times 5^3$
4. $2^2\times 3^3\times 5^2$

Q.

Express $10800$ in exponential form.

1. $2^3\times 3^3\times 5^2$

2. $2^4\times 3^2\times 5^2$

3. $2^4\times 3^3\times 5$

4. $2^4\times 3^3\times 5^2$

Q. If $3^2\times 3^x=3^5$, then value of x is:

1. 2
2. 3
3. 4
4. 5

Q.

If a = 5 and b =3 then find the value of $2^a+5^b$

1. $155$

2. $150$

3. $157$

4. $158$

Q. Pick the true statement(s)

1. ${15}^2$ = 325
2. ${26}^2$ = 676
3. ${18}^2$ = 324
4. ${22}^2$ = 464

Q. $(16{)}^2$ = 256 . State whether the statement is true or not ?

1. False
2. True

Q.

The exponential form of $\sqrt{2\times 3}$ is

1. $6$

2. $6^{-\frac{1}{2}}$

3. $6^{\frac{1}{2}}$

4. $6^{\frac{1}{4}}$

Q. $(25{)}^2$ = 1025 .

1. True
2. False

Q.

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

1. 600

2. 700

3. 800

4. 900

Q.

If a = 2 and b = 3, find $(a\times b{)}^a.$

1. 6

2. 16

3. 36

4. 24

Q.

If $m=3$ and $n=-2$ then $(2m-2n{)}^5$ is

1. 1000

2. 1, 00, 000

3. 10, 000

4. 100

Q.

What is the product of $(a+b)$ and 7$a^2$$b^2$?

1. 7

2. 7 + 7

3. 7b + 7a

4. 7ab + 7

Q. In a $500$ m race , the ratio of the speed of two contestants A and B is $3$ : $4$. $A$ has a start of $140$ m .Then A beats B by

1. $10$ m
2. $20$ m
3. $60$ m
4. $40$ m

Q.

The exponential form of $\sqrt{2\times 3}$ is

1. $6$

2. $6^{-\frac{1}{2}}$

3. $6^{\frac{1}{2}}$

4. $6^{\frac{1}{4}}$

Q.

Write the given expression in exponential form

$6a^3{x}^3\times 17x^2{y}^4\times 3y^2{a}^2$

Q. Find the value of a + b if $2^a+5^b=141$

1. 7
2. 8
3. 10
4. 6

Q.

Express the following in the exponential form :

(i) $3\times 3\times 5$

Q. Simplify:
$(-3)\times {(-2)}^3$

Q.

Express 125 in exponential form

1. $5^2$

2. $5^3$

3. $5^{-3}$

4. 5

Q.

Simplify and write the answer in the exponential form.

${18}^{16}\times 18$