Question

4) Write 16 x 32 x 8 x 4 in the exponential form.

Answer 1

Answer:

Mathematics NCERT Grade 8, Chapter 13: Exponents and Powers- This chapter highlights all the concepts related to exponents and powers. Initially, the concept of exponents will be discussed where a student will study how to read, write and represent exponents and powers.

Students will know about the importance and use of exponents.

The short notation 104 stands for the product 10×10×10×10. Here ‘10’ is called the base and ‘4’ the exponent. The number 104 is read as 10 raised to the power of 4 or simply as the fourth power of 10. 104 is called the exponential form of 10,000.

The other portion of the chapter gives insight about Laws of exponents. This particular section is divided into several sub-sections:

Multiplying Powers with the Same Base

Dividing Powers with the Same Base

Taking Power of a Power

Multiplying Powers with the Same Exponents

Dividing Powers with the Same Exponents

Numbers with exponent zero

Once the student has come across various laws of exponents miscellaneous examples using the laws of exponents can be studied.

This is followed by Decimal Number System and expressing large numbers in the standard form.

Any number can be expressed as a decimal number between 1.0 and 10.0 including 1.0 multiplied by a power of 10. Such a form of a number is called its standard form.

The chapter includes 3 unsolved exercises and various solved examples.

The chapter comprises a summary in which all the important concepts of the chapter- Exponents and Powers are mentioned.

Page No 252:

Question 1:

Find the value of:

(i) 26 (ii) 93

(iii) 112 (iv)54

ANSWER:

(i) 26 = 2 × 2 × 2 × 2 × 2 × 2 = 64

(ii) 93 = 9 × 9 × 9 = 729

(iii) 112 = 11 × 11 = 121

(iv)54 = 5 × 5 × 5 × 5 = 625

Answer 2

Answer:

$16 = {2}^{4}$

$32 = {2}^{5}$

$8 = {2}^{3}$

$4 = {2}^{2}$

$16 \times 32 \times 8 \times 4$

$= {2}^{4} \times {2}^{5} \times {2}^{3} \times {2}^{2}$

$= {2}^{(4 + 5 + 3 + 2)}$

$= {2}^{14}$