Question 2 :
A googol is the number 1 followed by 100 zeroes. How is a googol written as a power?

Question 3 :
For any two non-zero rational numbers x and y $x^5 \div\ y^5$ is equal to

Question 9 :
The speed of light in vaccum is $3 × 10^8$ m/s. Sunlight takes about 8 minutes to reach the earth. Express distance of Sun from Earth in standard form.

Question 13 :
A light year is the distance that light can travel in one year. 1 light year = 9,460,000,000,000 km. Express one light year in scientific notation.

Question 14 :
The major components of human blood are red blood cells, white blood cells, platelets and plasma. A typical red blood cell has a diameter of approximately $7 × 10^{-6}$ metres. A typical platelet has a diameter of approximately $2.33 × 10^{-6}$ metre. Which has a greater diameter, a red blood cell or a platelet?

Question 15 :
The $(\frac{1}{4})^{th}$ of a cube unit contains about 97,700,000,000,000,000,000,000 atoms. This can be expressed in scientific notation as:

Question 21 :
Express the following in exponential form : $a\times a\times b\times b\times b\times c\times c\times c\times c$

Question 22 :
Very large numbers can be expressed in standard form, also known as _______ notation.

Question 25 :
Fill in the blanks with <, > or $=$ sign, $6^3 $_____$ 4^4$

Question 30 :
Identify the greater number, $7.9 \times 10^4$ or $5.28 \times 10^5$

Question 35 :
Out of the following, the number which is not equal to $\frac{-8}{27}$ is

Question 38 :
State whether true of false: $x^0 \times\ x^0 = x^0 \div\ x^0$ is true for all non-zero values of x.

Question 40 :
State whether true or false: in $7^5$, base is 7 and exponent is 5

Question 43 :
State whether true of false: $5^0 \times\ 25^0 \times\ 125^0 = (5^0)^6$

Question 44 :
Express the following as a product of powers of their prime factors: 2025

Question 48 :
State whether true of false: In the standard form, a large number can be expressed as a decimal number between 0 and 1, multiplied by a power of 10.

Question 49 :
Express the following in exponential form : $s\times s\times t\times t\times s\times s\times t$