Powers and Exponents

Q. Which of the following is the exponential notation of $81$?

1. $3^7$
2. $3^6$
3. $3^4$
4. $3^3$

Q.

Express $343$ as a power of $7.$

1. $7^3$

2. $7^2$

3. $7^1$

4. $7^4$

Q.

In power notation, $\frac{81}{625}$ can be expressed as ___.

1. (5/3)⁴

2. (3/5)⁴

3. (-3/5)⁴

4. Both B and C are correct

Q.

How will I write exponents in the mobile

Q. Which of the following is not true?

1. $3^2>2^3$
2. $4^3$ = $2^6$
3. $3^3\ne 9$
4. $2^5>5^2$

Q.

Write the exponential form :-

$a\times a\times a\times a.......10times$

Q.

Express the following in exponential form:
$6\times 6\times 6\times 6$

Q.

Question 2(iii)
Express the following in exponential form:
(iii) $b\times b\times b\times b$

Q.

Find the value of m and n, if $6^{-5}\times 5^{-2}\times 6^3\times 5^m\times 6^n=1$. [4 MARKS]

Q.

Say true or false:

$(\frac{2}{5}{)}^2=-(\frac{2}{5}{)}^2$

1. True

2. False

Q.

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

Q. The class marks of a distribution are $11$, $14$, $17$, $20$, $23$, $26$ and $29$. Find the width of the class .

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

Q.

Write in the exponential form.

$19\times a\times a\times a...9times\times b\times b\times b\times ...11times$

Q. If $216=2^a{3}^b$, then find the value of $a+b$.

1. $5$
2. $3$
3. $6$
4. $4$

Q.

Write the product using exponents.

$(-9)•(-9)•(-9)•(-9)•(-9)$

Q.

If a = 2 and b = 3. Find the value of $a^b\times b^a$.

1. 56

2. 72

3. 64

4. 8

Q. $(-1{)}^{17}\times (-1{)}^{28}$ is equal to:

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

Q. Find the smallest number which when decreased by $10$ is exactly divisible by $16,21,24$ and $42$?

1. $546$
2. $346$
3. $446$
4. $246$

Q.

Name any integer whose multiplicative inverse does not exist. __________

Q.

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

Q. $\text{What is the smallest number you have to add to}100000\text{to get a multiple of}1234?$

Q. What is the lowest common multiple of $5,7$ and $10$?

Q.

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