Question 3 :
In standard form, the number 829030000 is written as $K \times\ 10^8$ where K is equal to
Question 4 :
Fill in the blank: When you are dividing two powers with the same base, _____ the second
exponent from the first to give you the exponent of the answer.
Question 5 :
State whether true of false: $5^0 \times\ 25^0 \times\ 125^0 = (5^0)^6$
Question 7 :
The standard form of the number 72105.4 is written as $7.21054 \times 10^n$ where $n$ is equal to
Question 9 :
The average size of an atom is about 0.00000003 centimetre across. This can be written in scientific notation as:
Question 13 :
Very large numbers can be expressed in standard form, also known as _______ notation.
Question 16 :
Express the following in exponential form : $a\times a\times b\times b\times b\times c\times c\times c\times c$
Question 19 :
Fill in the blanks with <, > or $=$ sign, $6^3 $_____$ 4^4$
Question 24 :
How many times of 30 must be added together to get a sum equal to $30^7$?
Question 25 :
State whether true of false: $x^m \div\ y^m = (x\div y)^m$, where x and y are non-zero rational numbers and
m is a positive integer.
Question 42 :
Find the value of $n$ where $n$ is an integer: $2^{n-5}\times 6^{2n-4}= \frac{1}{12^4\times\ 2}$
Question 43 :
Express the following as a product of powers of their prime
factors: 2025
Question 44 :
State whether true of false: $x^m + x^m = x^{2m}$, where x is a non-zero rational number and m is a
positive integer.
Question 48 :
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 50 :
Any number that has an exponent of 0 is equal to