Evaluate the Following: ( 2 3 ) 2 - Mathematics

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

बेरीज

`(2^3)^2`
= 2⁶
= 64

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Laws of Exponents

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पाठ 9: Indices - Exercise 9.1

पाठ 9 Indices
Exercise 9.1 | Q 1.03

Simplify :
`( 8x^3 ÷ 125y^3 )^(2/3)`

Simplify:

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

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

Evaluate:

`(27/8)^(2/3) - (1/4)^-2 + 5^0`

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.

If 1960 = 2^a. 5^b. 7^c, calculate the value of 2^-a. 7^b. 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 )`

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

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