Question 5 :
Express the following as a product of powers of their prime
factors: 2025
Question 7 :
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 8 :
State whether true of false: $x^m \times y^m = (x\times y)^{2m}$, where x and y are non-zero rational numbers and
m is a positive integer.
Question 10 :
Fill in the blanks with <, > or $=$ sign, $7^4$____$5^4$
Question 12 :
Fill in the blanks with <, > or $=$ sign,10,000 ________$10^5$
Question 19 :
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 27 :
By what number should we multiply $3^3$ so that the product may
be equal to $3^7$?
Question 30 :
Find the value of $n$ where $n$ is an integer: $2^{n-5}\times 6^{2n-4}= \frac{1}{12^4\times\ 2}$
Question 37 :
The average size of an atom is about 0.00000003 centimetre across. This can be written in scientific notation as:
Question 42 :
Identify the greater number, $7.9 \times 10^4$ or $5.28 \times 10^5$
Question 43 :
Simplify and express the following in exponential form: $\left(\frac{a^6}{a^4}\right)\times a^5\times a^0$
Question 44 :
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: