Question

In a painting competition , Sourabh made a painting on a cardboard having length 81
cm and breadth 16 cm .
1. Express the length in exponential form .
2. Express the breadth in exponential form .
3. Find the area of the cardboard on which painting has been made.
4. Express the area in exponential form having single base.
5. Write the law of exponent used to get the answer of Question 4 .

Answer 1

Answer:

Exponential form means to express the terms in exponents.

1. Here , Length = 81cm

in exponents = 3 raise to power 4. (3^4) i.e 3×3×3×3

2. Breadth = 16 cm

in exponents = 2 raise to power 4. (2^4) i.e 2×2×2×2

3. Area of cardboard = Length × breadth

= 81× 16

= 1296 sq. cm

4. Area in exponential form = 1296 in exponential terms

= 6 raise to power 4

( 6^4 )

i.e 6×6×6×6

5. Law of exponents is Prime factorisation method.