Evaluate the Following: ( 3 2 ) 2 - Mathematics

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

योग

`(3^2)^2`

= 3⁴

= 81.

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अध्याय 9: Indices - Exercise 9.1

अध्याय 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:

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

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

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

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:

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

Find the value of 10⁻³.

Find the value of (2³)².