For what value of a does (one-ninth) Superscript a + 1 Baseline = 81 Superscript a + 1 Baseline times 27 Superscript 2 minus a?

Step-by-step explanation:

The equation to solve for "a" is:

The first step is to convert all of them to same bases.

9, 81, and 27, all can be expressed in base 3, lets do this:

We can use the property: to simplify further:

The right side has 2 same bases multiplied, we can simplify this using the property:  

Thus, we have:

Now, both sides have same base, so exponents would be equal. Now lets equate and solve for "a":

So,

a = -4

the correct answer is 1: 2

step-by-step explanation:

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