Evaluate the Following: ( 3 2 ) 2 - Mathematics

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

बेरीज

`(3^2)^2`

= 3⁴

= 81.

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Laws of Exponents

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पाठ 9: Indices - Exercise 9.1

पाठ 9 Indices
Exercise 9.1 | Q 1.04

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

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

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

Simplify :
`( a + b )^(-1) . ( a^(-1) + b^(-1) )`

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

Evaluate:

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

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

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.

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

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