Exponent

Q. Find the value of x if $2^{x-3}=1$.

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

Q.

Express 432 in exponential form

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

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

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

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

Q.

Express the prime factorization of a number in exponential form.

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

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

Q. Which power of $8$ is equal to $2^6$?

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

Q.

In $5^6$, 5 is called exponent and 6 is called base. Say true or false.

1. True

2. False

Q.

Express 432 in exponential form.

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

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

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

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

Q. Find the value of ${(-2)}^3$ × ${(-3)}^2$.

1. $(-27)$
2. $27$
3. $(-72)$
4. $72$

Q.

Question 2(ii)
Express the following in exponential form:
(ii) $t\times t$

Q. Evalute:
$(5\times 4{)}^2$

Q. What will be the exponent, if we express 32 as a power of 2?

1. 7
2. 5
3. 4
4. 6

Q.

Find the greatest common factor of $-4a^3{b}^2,12a^2{b}^3,16a^{5}bc,4a^2{b}^2$.

Q.

If a = 4 and b = 3, Evaluate $a^a+b^b$

1. 280

2. 281

3. 283

4. 275

Q.

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

1. 10

2. -100

3. 100

4. -10

Q.

What is the value of 5 with an exponent of 3?

1. 25

2. 125

3. 625

4. 1325

Q. What should be the value of 'a' if the value of $2x^2+x-a$ equals to 5, when x = 0?

Q. What should be the value of 'a' if the value of $2x^2+x-a$ equals to 5, when x = 0?

Q.

Which of the following is false?

$i.{\left(1\right)}^{2016}>{\left(1\right)}^{2014}$

$ii.{\left(1\right)}^{2016}>{\left(0\right)}^{2016}$

$iii.{\left(1\right)}^{2016}>{(-1)}^{2016}$

$iv.{(-1)}^{2014}>{(-1)}^{2015}$

1. i, ii

2. iii, iv

3. i, iii, iv

4. i, iii

Q. $8^2$ equals

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

Q. The value of $3^0+5^0+7^0$ is

1. 1
2. 2
3. 12
4. 3

Q.

Evaluate the expression. Write your answer in scientific notation.

$(4.6\times {10}^9)+(3.9\times {10}^9)$

Q.

Solve the following :

$(2350÷5)+(400÷8)$

Q.

If a = 3 and b = 2, Evaluate $a^a+b^b$

1. 12

2. 25

3. 29

4. 31

Q. Find the value of ${(-2)}^3$ × ${(-3)}^2$.

1. $(-27)$
2. $27$
3. $(-72)$
4. $72$

Q. If $m=3$ and $n=2$, then $(2m+3n{)}^2=$

1. $12$
2. $169$
3. $144$
4. $121$

Q. Simplify:
$2^3\times 5$

Q. State True or False.

1. True
2. False

Q.

Express $256\times 243$ in exponential form.

1. $2^7\times 3^4$

2. $2^2\times 3^2$

3. $2^6\times 3^3$

4. $2^8\times 3^5$

Q.

What is the value of 5 with an exponent of 3?

1. 25

2. 125

3. 625

4. 1325

Q. $\frac{1}{y^{-100}}=$ _____

1. $y^{100}$
2. $\frac{1}{y^{100}}$
3. $-y^{100}$
4. $y^{-100}$