Standard Form to Normal Forms

Q.

Express the following numbers in standard form:
31860000000

Q.

Question 2 (i)
Find: $9^{\frac{3}{2}}$

Q.

In the standard form, 21600000 is written as ___________.

1. 216 ×

2. 2.16 ×

3. 216 × 100000

4. 2.16 ×

Q. Question 1(ii)
Express the following numbers in standard form:
0.00000000000942

Q. Question 19
The value of $\sqrt[4]{4(81{)}^{-2}}$ is

A) $\frac{1}{9}$
B) $\frac{1}{3}$
C) $9$
D) $\frac{1}{81}$

Q.

Express $4.95\times {10}^5$ in the usual form.

1. 49500

2. 4950

3. 495000

4. 4950000

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

Q. Question 1(iii)
Express the following numbers in standard form:
6020000000000000

Q. How do we express $7.546\times {10}^{-6}$ in the normal form ?

1. 0.000007546
2. 0.000007546
3. 0.000007546
4. 0.0007546

Q.

Evaluate :

1. 4/(216) to the power of -2/3 + 1/(256) to the power of -3/4 + 2/(243) to the power of -1/5.

Q. $\frac{8^{\frac{1}{3}}\times {16}^{\frac{1}{3}}}{{32}^{-\frac{1}{3}}}$

Q.

Solve for x

$x^2-3x-10=0$

1. 5, -2

2. -2, -6

3. 10, 5

4. 7, 6

Q.

If $4^x$ = 64, then find $x,2^{x}and{3}^x$

1. Positive

2. Negative

3. Zero

4. Fractional number

Q. The standard form of 0.000064 is

1. 6.4x10^(-8)
2. 6.4x10^(-5)
3. 6.4x10^5
4. 6.4x10^8

Q.

Question 46

In the following question, fill in the blanks to make the statements true.

The standard from of $\left(\frac{1}{100000000}\right)$ is ___

Q. Solve the following.
$3a^2{x}^2+8abx+4b^2=0,(a\ne 0)$

Q.

Question 47

In the following question, fill in the blanks to make the statements true.

The standard from of 12340000 is ___ .

Q.

$\sqrt[4]{4\sqrt[3]{32^2}}$ equals to

A.) $2^{\frac{-1}{6}}$
B.) $2^{-6}$
C.) $2^{\frac{1}{6}}$
D.) $2^6$

Q. Express 12470000000000 in the standard form.

1. $124.7\times {10}^{10}$
2. $12.47\times {10}^{13}$
3. $1.247\times {10}^{13}$
4. $12.47\times {10}^{-13}$

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

1. True
2. False

Q.

If $m\ne n$ and $(m+n{)}^{-1}\times (m^{-1}+n^{-1})=m^x{n}^y$, then $x+y$ is equal to

1. 1

2. 2

3. 0

4. -2

Q. In 6⁸, 6 is the exponent.

1. True
2. False

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

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. $2\times {81}^x=3\times {36}^x,$ then $x=\frac{1}{m},m=$

Q. solve:$x^2-6x-27$.

Q.

What is the definition of "standard form"?