Power

Q.

The value of $\sqrt[3]{3729}\times \sqrt[3]{364}$ is

1. 30

2. 36

3. 18

4. 20

Q. By using suitable identities, evaluate: (10.1)³

Q. What is 0^0

Q. Divide $(m^2-14m-32)$ by $(m+2)$

Q. Show that ${4.6}^n+5^{n+1}$ when divided by $20$ leaves remainder $9$.

Q.

If $3^a$ = $b^2$, find the minimum value of a + b

__

1. 4

2. 3

3. 6

4. 5

Q.

Factorise $ab(x^2+1)+x(a^2+b^2)$

Q. The population of a city is 20, 000. If the rate of increase is 25% every year, then the population after 2 years will be.

1. 30, 000
2. 32, 500
3. 31, 250
4. 33, 125

Q.

In power notation, $\frac{81}{16}$ can be expressed as ___.

1. $\left(\frac{3^4}{2^4}\right)$

2. $(\frac{3}{4}{)}^3$

3. $(\frac{3}{2}{)}^4$

4. $(\frac{3}{2}{)}^3$

Q. Express $\left[\right(8^3{)}^3{]}^2$ in exponential form.

Q.

simlify each of the following

1 (root 5 power -1 ) (root 3 ki power -3)

2 1/3root4 ki power -5

3.(25)ki power -1/3 . 3root 16

4.( 3root8 ki power -1/2)

Q. In a city, $38$ people donated to an organisation working for differently abled persons. The amount in rupees were as follows :$101,500,401,201,301,160,210,125,175,190,450,151,101,351,251,451,151,260,360,410,$$150,125,161,195,351,170,225,260,290,310,360,425,420,100,105,170,250,100$.
(i) By taking classes $100-149,150-199,200-\mathrm{249...}$ prepare a grouped frequency distribution table.
(ii) From the table, find the number of people who donated rupees $350$ or more.