Question

4. Simplify the following and write in exponential form:
(i) (5^2)
(ii) (2^3)^3
(iii) (a^b)^c
(iv) [(5)^2]^2​

Answer 1

i) 5² = 5 ×5

ii) (2³)³ = 2⁹ = 2×2×2×2×2×2×2×2×2

iii)$( {a}^{b} ) {}^{c} = a = b \times c$

iv) (5²)² = 5⁴ = 5×5×5×5

Answer 2

Answer:

how to convert exponent to numeral:-

1²=1×1=1

similarly 2²=2×2=4

in the above questions solution is in the under:-

1)5²=5×5=25

2)(2³)³=(2×2×2)³=(8)³=8×8×8=512

3)(a^b)^c=(a×b)^c=ab^c=abc

4){(5)²}²=(5×5)²=(25)²=25×25=625

other information maybe it's help you:-

definition of exponent with example:-

exponent is a number that indicates how many times you should multiply a number to itself. for example 4² means multiply by 4 by itself 2 times

or,4*4= 16. 4² = 16

definition of base with example:-

which number is multiplied with itself this is called the base. for example, in 4² 4 is the base.

@DISHARUPSA.