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:

`( 27/125 )^(2/3) xx ( 9/25 )^(-3/2)`

Simplify :
`[ 5^( n + 3 ) - 6 xx 5^( n + 1 )]/[ 9 xx 5^n - 5^n xx 2^2 ]`

Simplify the following and express with positive index:

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

Simplify :
`[ 8^3a xx 2^5 xx 2^(2a) ]/[ 4 xx 2^(11a) xx 2^(-2a) ]`

Simplify:

`[ 3 xx 27^( n + 1 ) + 9 xx 3^(3n - 1 )]/[ 8 xx 3^(3n) - 5 xx 27^n ]`

Show that :
`( a^m/a^-n)^( m - n ) xx (a^n/a^-l)^( n - l) xx (a^l/a^-m)^( l - m ) = 1`

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.

Find the value of 4⁶ × 4⁻⁴.

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