place the following problems in standard form 1 3122x2 2 3x1

place the following problems in standard form:

1. 3(1/2)^2x-2

2. (3^x-1)(3^2x+1)

3. (1/4)^-x(1/2)^2x-2

1. 3(1/2)^2x-2

a^m+n=a^m*aⁿ

=3(1/2)^2x(1/2)^-2

1/a^m=a^-m

=3(1/2)^2x(2^-1)^-2

(a^m)ⁿ= a^mn

=3((1/2)²)^x(2^-1*-2)

=3(1/4)^x(2²)

=3(1/4)^x(4)

=12(1/4)^x

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2. (3^x-1)(3^2x+1)

a^m*aⁿ=a^m+n

=3^x-1+2x+1

=3^3x

=(3³)^x

=27^x

3. (1/4)^-x(1/2)^2x-2

= ((1/2)²)^-x(1/2)^2x-2

= (1/2)^-2x(1/2)^2x-2

=(1/2)^-2x+^2x-2

=(1/2)^-2

=(2^-1)^-2

=2^-1*-2

=2²