Question

{(2^2)^3x3^6}÷(3^2)^4



please give answer fast plz plz plz​

Answer 1

Step-by-step explanation:

(2^2)^3x3^6}÷(3^2)^4

(2^2)^3^(6+1)}÷(3^(2× 4))

(2^2)^3^7}÷(3^8)

= 2^ (2×3^7)÷ 3^8

Answer 2

Step-by-step explanation:

Given that:-

{(2^2)^3x3^6}÷(3^2)^4

=>{(2²)³×3⁶}÷(3²)⁴

we know that (a^m)^n=a^mn

=>{2⁶×3⁶}÷(3⁸)

=>2⁶×3⁶/3⁸

we know that a^m/a^n=a^(m-n)

=>2⁶×3⁶-⁸

=>2⁶×3-²

we know that a^-n=1/a^n

=>2⁶/3²

=>64/9

The value of {(2^2)^3x3^6}÷(3^2)^4 = 64/9

Used formulae:-

• a^m×a^n=a^(m+n)
• a^m/a^n=a^(m-n)
• (a^m)^n=a^mn
• a^-n=1/a^n