madisoningersoll5
contestada

Which of the following expressions is equivalent to 32x − 3?

the quantity 9 to the power of x end quantity over 27
the quantity 6 to the power of x end quantity over 9
the quantity 2 to the power of x end quantity over 3
the quantity 1 to the power of x end quantity over 9

Respuesta :

adioabiola

The expressions which is equivalent to the given expression; 3^(2x -3) is; the quantity 9 to the power of x end quantity over 27.

Equivalent expression

It follows from the task content that the equivalent expression as in the task content can be determined by the laws of Indices as follows;

3^(2x -3)

= 3^(2x) × 3-³

= (3²)^x × 1/3³

= 9^(x) × 1/27

= 9^(x)/27.

Read more on indices;

https://brainly.com/question/170984

#SPJ1

The expression that is equivalent to 3^(2x - 3) is; Option A: the quantity 9 to the power of x end quantity over 27.

How to use Law of Indices?

Laws of indices provide us with rules for simplifying calculations or expressions involving powers of the same base.

Now, we are given the expression as 3^(2x - 3). This can be broken down into; 3^(2x) × 3⁻³

Now, according to laws of indices;

3^(2x) = (3²)ˣ

Thus, we now have;

= ((3²)ˣ)/3³

= 9ˣ/3³

= 9ˣ/27

Read more about Laws of indices; https://brainly.com/question/12985890

#SPJ1

Otras preguntas