Exponents

Q.

By what number should we multiply-1/6 so that the product maybe -23/9 ?

Q. Why 0 to the power of any number=1

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Q. Why any number having the power of zero is equal to one??
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Q.

243 is the ______ power of 3.

1. 4^th

2. 2^nd

3. 5^th

4. 3^rd

Q.

Any number raised to the power zero is 0. Say true or false.

1. False

2. True

Q.

Write the number in scientific notation.
$0.005$

Q. Superman can fly at a speed of $2.6\times {10}^7$ m/s. A supersonic jet on the planet Krypton can fly at a maximum speed of 130000 m/s. Choose the correct option(s):

1. Superman flies 200 times faster than the jet
2. Superman flies 2000 times faster than the jet
3. The jet flies 200 times faster than Superman
4. The jet flies 2000 times faster than Superman

Q.

Write the number in scientific notation.
$0.000506$

Q.

The value of $a^0,wherea\ne 0,$ is zero.

1. True

2. False

Q.

Find the value of $p^2+\frac{1}{p^2},$ if $p+\frac{1}{p}=7$.

1. 49

2. 47

3. 36

4. 20

Q.

Express 3375 in exponential form.

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

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

3. $3^3\times 5^3$

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

Q. $x^3=729$. Find x

Q.

Express the following with a negative integer as exponent (3 power 5 upon 3 power 7 )

Q.

What Is $e$ to power $0$?

Q.

Express 125 in exponential form

1. 5

2. $5^{-3}$

3. $5^2$

4. $5^3$

Q.

Superman can fly at speeds almost equal to $2.6\times {10}^7$ m/s.A supersonic jet on the planet Krypton can fly at a maximum speed of 130000 m/s. Choose the correct option(s):

1. The jet flies 200 times faster than Superman

2. Superman flies 200 times faster than the jet

3. The jet flies 2000 times faster than Superman

4. Superman flies 2000 times faster than the jet

Q.

If the number of negative integers in the product is even then the product is ______

Q.

6561 in exponent notation is :

1. 4⁸

2. 4¹⁶

3. 3⁸

4. 3¹⁶

Q.

Write the number in scientific notation.
$0.00000033$

Q. Is 0 is a exponent, or power or not of any type of number

Q.

Which of the following is/are 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.

What is the value of 8⁰?

Q.

$(9\times {10}^{-2})+(9\times {10}^3)$ in usual form is given as

1. 0.000009

2. 0.00009

3. 90 × 10^-4

4. 0.009 × 10^-4

Q.

Find the product:

(i) (ii) (iii)

(iv) (v) (vi)

Q.

Exponent and power are same.

1. True

2. False

Q.

To express the speed of a supersonic jet which is 130000 m/s in the standard form, we write it as$1.3\times {10}^a$ m/s. The value of a is

1. 7

2. 9

3. 3

4. 5

Q. Express $10800$ in exponential form.

Q.

The expression $0.000532$ in the standard form is :

1. $5.32\times {10}^{-4}$

2. $5.32\times {10}^{-3}$

3. $5.32\times {10}^{-6}$

4. $53.2\times {10}^{-6}$

Q.

Express 216 in exponential form.

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

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

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

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

Q. If $5^{m+2}$ $\times$ $5^4$ = $5^3$ , then $m$ = .

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