Evaluate the Following: ( 2 3 ) 2 - Mathematics

Evaluate the following: `(2^3)^2`

Sum

`(2^3)^2`
= 2⁶
= 64

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Laws of Exponents

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Chapter 9: Indices - Exercise 9.1

Chapter 9 Indices
Exercise 9.1 | Q 1.03

Evaluate :
`3^3 xx ( 243 )^(-2/3) xx 9^(-1/3)`

Evaluate:

`7^0 xx (25)^(-3/2) - 5^(-3)`

Simplify :
`( 3x^2 )^(-3) xx ( x^9 )^(2/3)`

Simplify the following and express with positive index :
`([27^-3]/[9^-3])^(1/5)`

Simplify the following and express with positive index :
`(32)^(-2/5) ÷ (125)^(-2/3)`

Simplify the following and express with positive index:

`[ 1 - { 1 - ( 1 - n )^-1}^-1]^-1`

Simplify:

`( x^a/x^-b )^( a^2 - ab + b^2 ) xx ( x^b/x^-c )^( b^2 - bc + c^2 ) xx ( x^c/x^-a )^( c^2 - ca + a^2 )`

If a = x^{m + n}. y^l; b = x^n + l. y^m and c = x^{l + m}. yⁿ,

Prove that : a^{m - n}. b^n - l. c^{l - m} = 1

Find the value of 10⁻³.

`[(3/7)^-3]^4` = ______