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:

`5^(-4) xx ( 125)^(5/3) ÷ (25)^(-1/2)`

Evaluate:

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

Evaluate:
`(16/81 )^(-3/4) xx (49/9)^(3/2) ÷ (343/216)^(2/3)`

Evaluate :
`sqrt(1/4) + (0.01)^(-1/2) - (27)^(2/3)`

Simplify the following and express with positive index :
`(3^-4/2^-8)^(1/4)`

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

If 2160 = 2^a. 3^b. 5^c, find a, b and c. Hence calculate the value of 3^a x 2^-b x 5^-c.

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

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