The value of ( 8 ) ^{- ( 2 - 2 )} is :

Correct Answer: 25

Correct Answer: 15 8

Explanation:

Correct Answer: 27

Explanation:

Correct Answer: 9/10ac-1

Explanation:

Given equation is,
( 6a^-2bc^-3/4ab^-3c² ) ÷ ( 5a^-3 b²c^-1/3ab^-2c³ )
Apply the algebra law a ÷ b = a x 1/b
= ( 6a^-2bc^-3/4ab^-3c² ) x ( 3ab^-2c³/5a^-3 b²c^-1 )
= ( 6a^-2 bc^-3 x 3ab^-2c³) / ( 4ab^-3c² x 5a^-3b²c^-1 )
Apply the law of Fractional Exponents and Laws of Exponents
(a^m)(aⁿ) = a^m+n
a^m÷aⁿ=a^m-n
Or
a^m/aⁿ=a^m-n
= 18a^{-2 + 1} b^{1 - 2} c ^{-3 + 3} / 20a^{1 - 3} b^{-3 + 2} c^{2 - 1}
= 9a^-1b^-1c⁰/ 10a ^{- 2} b^-1c¹
= ( 9/10 ) a^{-1 + 2}b^{-1 + 1} c^{0 - 1}
= ( 9/10 ) a¹b⁰ c^-1
= ( 9/10 ) ac^-1 [? b⁰ = 1]

Correct Answer: a real number but not a rational number

Explanation:

Given expression = [(?2)^?2]^?2
= (?2)^(2)?2/2
= (?2)^(2)1/?2
= (2)^1/2 x 2^1/?2
= 2^(2/21/?2)
= (2)^{(2)(1/?2 - 1)}
which denotes a real number but not a rational number .

Correct Answer: 2

Explanation:

? 10^2/5 × 10^8/5 = 10ⁿ
? 10^{2/5 + 8/5} = 10ⁿ
? 10^10/5 = 10ⁿ ? 10² = 10ⁿ ? n = 2
Hence, the value of n is 2.

Correct Answer: 1 a2

Explanation:

Correct Answer: 62/3

Correct Answer: 2xyz

Explanation:

Correct Answer: 1 y

Explanation: