S.chand Class 8 Maths Solution Chapter 2 Exponents Exercise 2A

  Exercise 2A

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Q1 | Ex-2A | Exponents |Class 8 | Schand composite mathematics| Chapter 2 | myhelper

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Question 1

Express each of the following in exponential form :

(i) $\frac{2}{3} \times \frac{2}{3} \times \frac{2}{3} \times \frac{2}{3}$

(ii) $\frac{3}{8} \times \frac{3}{8} \times \frac{3}{8} \times \frac{3}{8} \times \frac{3}{8}$

(iii) $\frac{-5}{7} \times \frac{-5}{7} \times \frac{-5}{7} \times \frac{-5}{7} \times \frac{-5}{7} \times \frac{-5}{7}$

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Q2 | Ex-2A | Exponents |Class 8 | Schand composite mathematics| Chapter 2 | myhelper

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Question 2

2. Express each of the following as a rational number of the form $\frac{p}{q}$ :

(i) $\left(\frac{5}{9}\right)^{2}$

(ii) $\left(\frac{4}{7}\right)^{3}$

(iii) $\left(\frac{-2}{3}\right)^{7}$

(iv) $\left(\frac{-5}{2}\right)^{3}$

$(v)\left(\frac{-1}{2}\right)^{8}$

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3. Express each of the following rational numbers in power notation :

(i) $\frac{9}{64}$

(ii) $\frac{49}{25}$

(iii) $\frac{-8}{27}$

(iv) $-\frac{1}{216}$

(v) $\frac{-32}{243}$

(vi) $\frac{81}{625}$

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4. Find the value of :

(i) $\left(\frac{1}{3}\right)^{3} \times\left(\frac{3}{2}\right)^{2}$

(ii) $\left(\frac{-2}{3}\right)^{4} \times\left(\frac{-3}{4}\right)^{3}$

(iii) $\left(-\frac{1}{5}\right)^{3} \times\left(-\frac{1}{5}\right)^{2}$

(iv) $\left(\frac{4}{-5}\right)^{2} \times(-5)^{3}$

(v) $\left(-\frac{1}{3}\right)^{5} \div\left(\frac{2}{3}\right)^{3}$

(vi) $\left(-\frac{1}{5}\right)^{3} \times(-1)^{85} \times\left(\frac{2}{5}\right)^{2}$

(vii) $\left(\left(\frac{-3}{5}\right)^{3}+\frac{7}{25}\right) \div\left(\frac{5}{2}\right)^{3}$

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Q5 | Ex-2A | Exponents |Class 8 | Schand composite mathematics| Chapter 2 | myhelper

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5. Find the reciprocal of :

(i) $\frac{16}{125}$

(ii) $\frac{-27}{64}$

(iii) $(-2)^{4}$

(iv) $\left(\frac{-3}{7}\right)^{2}$

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Q6 | Ex-2A | Exponents |Class 8 | Schand composite mathematics| Chapter 2 | myhelper

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6. Evaluate : $b^{2}-9(b-1)^{2}$, if b=1.1.

Multiple Choice Questions (MCQs)

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Q7 | Ex-2A | Exponents |Class 8 | Schand composite mathematics| Chapter 2 | myhelper

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7. $\left(12^{2}-5^{3}\right) \times \frac{(-1)^{20}}{19}$ equals

(a) 0

(b) 1

(c) $-1$

(d) 2

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Q8 | Ex-2A | Exponents |Class 8 | Schand composite mathematics| Chapter 2 | myhelper

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8. The multiplicative inverse of $\left(\frac{1}{2}\right)^{4} \div\left(\frac{1}{3}\right)^{4}+\left(-\frac{1}{2}\right)^{3}$ is

(a) $\frac{79}{17}$

(b) $-\frac{79}{16}$

(c) $\frac{16}{79}$

(d) $-\frac{17}{79}$

High Order Thinking Skills (HOTS)

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Q9 | Ex-2A | Exponents |Class 8 | Schand composite mathematics| Chapter 2 | myhelper

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9. Find the reciprocal of $\frac{-1296}{625}$ and express it in exponential notation.