Reproduction in living organisms is the vital process of producing offspring that are biologically or genetically similar to the parent organism.It is essential to maintain continuity of species on the earth. For example: If there are only 20 Tigers in the forest and if they do not reproduce, new tigers ... Read More

We know that, a−m=1amam×an=am+naman=am−n \begin{array}{l}a^{-m} =\frac{1}{a^{m}}\\a^{m} \times a^{n} =a^{m+n}\\\frac{a^{m}}{a^{n}} =a^{m-n}\end{array}a−m=am1​am×an=am+nanam​=am−n​am=(a)1m\sqrt[m]{a} =( a)^{\frac{1}{m}}ma​=(a)m1​3×5−3÷3−135×3×566=(3×5−3)12÷(3−1)13(5)12×(3×56)16                                                      =(3)12×(5−3)12÷(3−1)13(5)12×(3)16×(56)16                                                      =(3)12×(5)−3×12÷(3)−1×13(5)12×(3)16×(5)6×16                                                      =(3)12×(5)−32÷(3)−13(5)12×(3)16×(5)1                                                      =(3)12×(5)−32(3)−13(5)12×(3)16×5                                                      =(3)12−(−13)+16×(5)−32−12+1                                                      =(3)1×3+1×2+16×(5)−3−1+1×22                                                      =(3)3+2+16×(5)−4+22                                                      =(3)66×(5)−22                                                       =3×5−1                                                        =35 \begin{array}{l}\sqrt{3\times 5^{-3}} \div \sqrt[3]{3^{-1}}\sqrt{5} \times \sqrt[6]{3\times 5^{6}} =\left( 3\times 5^{-3}\right)^{\frac{1}{2}} \div \left( 3^{-1}\right)^{\frac{1}{3}}( 5)^{\frac{1}{2}} \times \left( 3\times 5^{6}\right)^{\frac{1}{6}}\\\\\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ... Read More

Given: + 10 + (-18) To find: We have to find the value of + 10 + (-18)Solution: + 10 + (-18)= 10 - 18 = - 8

A chemical change is a permanent change in which the chemical composition of a substance is changed and a new substance is formed.Eg: burning of magnesium ribbonProperties of chemical change are as follows: 1. Chemical changes are irreversible. The original form of the matter cannot be attained. 2. It is ... Read More

Solution:No because $x$ can be 0 and any real number multiply by 0 is 0.Example: $0\times\sqrt{2} = 0$ The final answer is 0 which is Rational. In other cases where $x$ is not 0, then $xy$ is irrational.

Given: A person travels 12km north by car and then 16km due east by train To do: Find how far is he from the starting point Solution:Travelling north 12 km forms one side of a right triangleTravelling east 16 km forms another side of the right triangle Distance between the ... Read More

Given: $4(a+b) - 6(a+b)^{2}$. To do: Factories the expression Solution:The common factor of both terms in expression is 2(a+b)So $4(a+b) - 6(a+b)^{2}$ =$2(a+b) \times [2 - 3(a+b)] $ =$2(a+b) \times [2- 3a -3b]$ =$2(a+b) \times (2 - 3a - 3b)$Therefore , the answer is  $2(a+b) \times (2 - 3a - 3b)$ ... Read More

The more the roughness the high the friction. When there is soap water on a surface there would be less roughness on it. When there is less roughness, there would be less friction. So because of less friction, it is difficult to walk on a soap water surface.

To do: Find how many seven-digit numbers are there in all? Solution:Smallest 7-digit number = 10,00,000Largest 7- digit number = 99,99,999 So total number of 7 digit numbers = 9999999 $–$ 1000000 $+$ 1.There are 90,00,000 seven-digit numbers that exist.

Rust is an iron oxide, a usually reddish-brown oxide formed by the reaction of iron and oxygen.The terms "rust" and "rusting" only mean oxidation of iron and its resulting products. (so a new substance is formed as iron changes to iron ore.)The nature of rust changes with time, reflecting the ... Read More