Expressing Numbers as Exponents

Q.

Write cube root of $9$ in exponential form:

Q.

In ${10}^4$, 10 is the base and 4 is the __.

Q.

The value of $2^7$ is _____.

1. $128$

2. $64$

3. $256$

4. $512$

Q.

The power of a number is also called an index or exponent.

1. True
2. False

Q.

Between $2^{10}$ and ${10}^2$ , ${10}^2$ is greater.

1. False

2. True

Q.

In 3${}^5$, 5 indicates the number of times 3 is used as a repeated factor, what is it called?

1. Base

2. Index

3. Exponent

4. Both B and C

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. 82
2. 81
3. 84
4. 83

Q.

Choose the correct answers:
If $4^x$ $=64$, and x=3 then

1. $2^x=8$

2. $3^x=27$

3. ${12}^x=1024$

4. ${10}^x$=10000

Q.

Divide ($x^2$+3)($x^2$-3)+9 by $x^4$

1. $x^4$

2. $x^2$

3. $x$

4. 1

Q. Find the value of x, if

(i) $3^x=81$

(ii) $2^{x-3}=1$

1. $x=4,3$
   
2. $x=3,4$
3. $x=3,3$
4. $x=1,1$

Q.

$5^2$ + $5^3$ = $5^5$. State whether true or false.

1. True

2. False

Q. The value of $3\sqrt[3]{32}\times 7\sqrt[3]{36}\times 5\sqrt[3]{318}$ is:

1. 545
2. 500
3. 630
4. 400

Q.

Find $(121{)}^2$.

1. 13100

2. 12200

3. 12100

4. 12300

Q. $3^0+5^0+8^0$ is equal to:

1. $1$
2. $0$
3. $3$
4. $6$

Q. If a = $8\times {10}^3$ and b =$4\times {10}^{-2}$ then ratio a : b = 200000 : 1

1. True
2. False

Q.

$5^4$ equals to _________.

1. 1/10000 m

2. m

3. m

4. m

Q.

Find the value of ‘m‘ if $(-2{)}^2\times (-5{)}^3=50m$

1. -10

2. 10

3. -100

4. 100

Q.

In ${10}^4$, 10 is the base and 4 is the __.

Q.

Identify the base in the given example:
$5^3$
Base: ___

Q.

What is (2 + 7)^2?

1. 18

2. 35

3. 53

4. 81

Q. Superman flies at a speed of $2.6\times {10}^7$ m/s . If the speed of a jet is 130000 m/s, then Superman's speed is times the speed of the jet.

1. 200
2. 2000
3. 240
4. 2400

Q.

What is the sum of 3 raised to power 2 and 4 raised to power 2?

1. 18

2. 7

3. 5

4. 25

Q.

What is the value of 12 raised to the power of 1?

1. 12

2. 400

3. 11

4. 64

Q. What is the value of ($3^0$ + $4^0$ - $5^0$)?

1. 2
2. 0
3. 1
4. - 1

Q. Simplify and express the following in exponential form:
$\frac{3\times 7^2\times {11}^8}{21\times 11}$

Q. 2 multiplied by itself ten times, when written in the exponential form is .

1. $2\times 10$
2. $2\times 2^8$
3. $2^{10}$
4. $2^{-10}$

Q.

Identify the base in the given example: $5^3$
Base: ___

Q.

What is the value of ($3^0$ + $4^0$ - $5^0$)?

1. - 1

2. 2

3. 0

4. 1

Q. Simplify:
$\frac{25\times 5^2\times t^8}{{10}^3\times t^4}$

Q. Choose the correct answer in place of question mark $(?)$in the following expression:
$121={11}^{?}$

1. $2$
2. $3$
3. $1$
4. $4$