Answer is below. Look at the steps to understand the answer.
<h3>Step 1.</h3>
We'll need to combine like-factors for (3⁻⁴ × 3⁻⁶)⁴.
To do that, we'll combine the exponents and copy the base number.
In the term, the like terms are...
3⁻⁴ and 3⁻⁶.
Like I said, when we need to combine the like-factors, we'll combine the numbers. Combine the numbers like this:
(3⁻⁴⁽⁻⁶⁾)⁴
<h3>Step 1a.</h3>
Add the exponents.
Remember the integer rule.
P + P = P
N + N = N
P + N = P
P + N = N
According to the rule, a negative + negative = negative. So...
-4 + (-6) = (-10)
<h3>Step 2.</h3>
We now need to make the exponent (3⁻¹⁰) positive.
Rule: A⁻ᴮ = ¹⁄ₐᴮ
According to the formula, A is the base number and B is the negative exponent.
That being said...
A → 3
B → 10
Now, since we know what A and B is, let's change our equation.
⅓¹⁰
<h3>Step 3</h3>
Bring down the exponent 4 then multiply.
10 · 4 = 40
Therefore, the answer is ⅓⁴⁰.
