Evaluate the Following: ( 3 2 ) 2 - Mathematics

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

योग

`(3^2)^2`

= 3⁴

= 81.

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Laws of Exponents

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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:

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

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

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

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 (2³)².

Find the value of 4⁶ × 4⁻⁴.