Introduction to Exponents

Q. The value of $2^8$ is .

1. 128
2. 256
3. 512
4. 64

Q.

Question 1

In the following question, out of the four options, only one is correct. Write the correct answer:

In $2^n,$ n is known as :
(a)Base
(b)Constant
(c)Exponent
(d)Variable

Q. Which of the following options is correct?

1. $4^1>3^2>2^3>1^4$
2. $3^2>2^3>4^1>1^4$
3. $3^2>4^1>2^3>1^4$
4. $1^4>2^3>3^2>4^1$

Q.

Write each of the following in the expanded form :-

$6x^5$

Q.

Write base and exponent in each of the following:

(i) ${\left(\frac{1}{5}\right)}^{-7}$

Q.

In $2^n$, n is known as

1. power

2. exponent

3. constant

4. base

Q.

Question 153(i)

In a repeater machine with 0 as an exponent, the base machine is applied 0 times.
What do these machines do to a piece of chalk?

Q. Find the difference between $4^5$ and $5^4$?
[2 marks]

Q.

Question 153(ii)

In a repeater machine with 0 as an exponent, the base machine is applied 0 times.
What do you think the value of $6^o$ is ?
You have seen that a hook up of repeater machines with the same base can be replaced by a single repeater machine. Similarly, when you multiply exponential expressions with the same base, you can replace them with a single expression.
Asif Raza thought about how he could rewrite the expression $2^{2}0\times 2^5$.

Asif Raza's idea is one of the product laws of exponents, which can be expressed like this
Multiplying Expressions with the same base $a^b\times a^c=a^{b+c}$
Actually, this law can be used with more than two expressions. As long as the bases are the same, to find the product you can add the exponents and use the same base.
e.g. $3^2\times 3^3\times 3^{10}=3^{2+3+10}=3^{15}$

Q. If 3^x = 81, then x = ___.

1. -4
2. 3
3. 9
4. 4

Q. In 2^n, what is n known as?

1. Base
2. Power
3. Exponent
4. Constant

Q. Identify the region which represents the power $2^2.$

1. 
2. 
3. 

Q. What is -9 raised to the power of 2?

1. -1331
2. -729
3. 81
4. -81

Q.

What is (3 - 1)^2 + (4 - 1)^2 equal to?

1. 13

2. 4

3. 9

4. 11

Q. If we represent 343 in the exponential form, then the base is and the exponent is .

1. 19
2. 7
3. 9
4. 3

Q. When 2 is raised to power n, n is called as a/an ______

1. Base
2. Exponent
3. Alphabet
4. Constant

Q. In $8^2$, is the base and is the exponent.

1. 8
2. 2
3. 64
4. 10

Q. In the given figure, each small square represents $2^0$.
Which of the following combinations of colours represent $2^3$?

1. Yellow, blue and red
2. Yellow, dark green, blue and purple
3. Blue, purple, red and light green
4. Purple and light green

Q. If we represent 343 in the exponential form, then the base is and the exponent is .

1. 3
2. 9
3. 7
4. 19

Q. When 2 is raised to power n, n is called as a/an ______

1. Base
2. Exponent
3. Alphabet
4. Constant