Given :The given term is $6^{100}$.To find :We have to find the last digit of $6^{100}$.Solution :$6^{100}$$6^1 = 6$$6^2 = 6 \times 6 = 36$$6^3 =  6 \times 6 \times 6= 216$So, we can conclude that 6 to the power any number ends with 6.So, $6^{100}$ also ends with the number 6.Therefore, the last digit of $6^{100}$ is 6.

The DNA sequence of a gene is divided into a series of triplet codons. These triplets code for a specific amino acid. For example, UUU, UUC, UUA, and UUG code for the amino acid Phenylalanine.

Given :The given numbers are 23, 51, 37, and 26.To do :We have to find which of the given numbers are prime.Solution :(a) 23Factors of 23 - 1, 23.23 has exactly two factors. So, 23 is a prime number. (b) 21Factors of 51 - 1, 3, 17, 51.51 has more than ... Read More

Given :The given rational number is $\frac{4913}{3375}$.To do :We have to find the cube root of the given rational number.Solution :$\frac{4913}{3375} = \frac{17 \times 17 \times 17}{15 \times 15 \times 15}$$\sqrt[3]{\frac{4913}{3375}} = \sqrt[3]{\frac{17 \times 17 \times 17}{15 \times 15 \times 15}}$                                   $= \sqrt[3]{\frac{17^3}{15^3}}$                                  $= \frac{17}{15}$The cube root of $\frac{4913}{3375}$ is $\frac{17}{15}$.\frac{4913}{3375}  

Solution :No, not all numbers ending with 0,1,4,5 and 0 are perfect squares.All perfect squares end in 1, 4, 5, 6, 9, or 00 (even number of zeros). Therefore, a number that ends in 2, 3, 7, or 8 is not a perfect square.For example,101,104,105,106, 109 and 110 are not perfect squares.

SO2 + 2H2S → 3S + 2H2OSulfur dioxide (SO)2reacts with hydrogen sulfide(H2S) to produce sulfur(S) and water(H2O).The reaction proceeds at room temperature(temperature near 300°).In this reaction, the catalyst is can be iron(III) oxide, aluminium oxide.

Solution: Relation between Trigonometric Identities: 1. $tan A=\frac{sin A}{cos A}$2. $cot A=\frac{cos A}{sin A}$3. $cosec A=\frac{1}{sin A}$4. $sec A=\frac{1}{cos A}$ Trigonometric Identities: 1. $sinA^2 + cosA^2 = 1$ 2. $tanA^2 + 1 = secA^2$ 3. $cotA^2 + 1 = cosecA^2$

The pores present in soil are used to hold water and also exchange gases like oxygen and carbon dioxide. Plant roots and other soil microorganisms depend on these gases and water for their growth and survival. Thus, soil helps the plants stay healthy. Soil respiration can be used to estimate ... Read More

Wires cannot be made from materials such as stone and wood because there do not possess the property of malleability thus it will not be easy to draw thin wire-like structures from them. If then too we try to draw them thin, they can become brittle.

Carbohydrates present in foods are usually found in the form of sugars, starch, and fibers.