Question 1 :
For any two non-zero rational numbers x and y $x^5 \div\ y^5$ is equal to
Question 9 :
How many times of 30 must be added together to get a sum equal to $30^7$?
Question 10 :
State whether TRUE or FALSE: $876543 = 8 \times 10^{5} + 7 \times 10^{4} + 6 \times 10^{3} + 5 \times 10^{2} + 4 \times 10^{1} + 3 × 10^0$
Question 12 :
State TRUE or FALSE: The exponent tells you
how many times the base
is repeated as a factor in
the multiplication
Question 15 :
Find the value of $n$ where $n$ is an integer: $2^{n-5}\times 6^{2n-4}= \frac{1}{12^4\times\ 2}$
Question 16 :
State whether true of false: $5^0 \times\ 25^0 \times\ 125^0 = (5^0)^6$
Question 17 :
State whether true or false: $\frac{a^4}{b^3} = \frac{a +a + a + a}{b + b + b}$
Question 20 :
Identify the greater number, $7.9 \times 10^4$ or $5.28 \times 10^5$
Question 24 :
Fill in the blank: To express any number in scientific notation, write it as the product of a
power of _____ and a number greater than or equal to 1 but less than 10.
Question 28 :
Express the following as a product of powers of their prime
factors: 800
Question 29 :
A light year is the distance that light can travel in one year. 1 light year = 9,460,000,000,000 km. The average distance between Earth and Sun is $1.496 × 10^8$km. Is the distance between Earth and the Sun greater than, less than or equal to one light year?
Question 31 :
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 36 :
Any number that has an exponent of 0 is equal to
Question 40 :
State whether TRUE or FALSE: $(5\hspace{1mm} . 2)^{4} = 5^{4} . 2^{4}$
Question 45 :
Express the following in exponential form : $a\times a\times b\times b\times b\times c\times c\times c\times c$