Question

Evaluate the expression. [(3–5)(34)]3 1 Innermost group, apply the product of powers: [3–1]3 2 Apply the power of a power: 3–3 3 Apply the negative exponent: 1 33 4 Simplify: 1 x What is the value of x in the simplified expression?

Answer 1

27

Explanation:

:)

Answer 2

x=27

Explanation:

To evaluate the expression:
`[(3^(-5))(3^4)]^3`

Step 1: Innermost group, apply the product of powers (
`a^x * a^y =a^(x+y)`

Therefore:

`(3^(-5))(3^4)=3^(-5+4)=3^(-1)`

We then have:

`=[3^(-1)]^3`

Step 2: Apply the power of a power

`[3^(-1)]^3=3^(-1 * 3) =3 ^(-3)`

Step 3: Apply the negative exponent

`3 ^(-3) =(1)/(3^3)`

Step 4: Simplify

`(1)/(3^3)=(1)/(27)`

Therefore, the value of x in the simplified expression is 27.