Evaluate the Following: ( 3 2 ) 2 - Mathematics

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

Sum

`(3^2)^2`

= 3⁴

= 81.

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Laws of Exponents

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Chapter 9: Indices - Exercise 9.1

Chapter 9 Indices
Exercise 9.1 | Q 1.04

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

Evaluate:

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

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.

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

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

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