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natka813 [3]
3 years ago
6

Given the expression 12 over 12 to the third power.

Mathematics
2 answers:
4vir4ik [10]3 years ago
5 0
<u><em>Part 1:</em></u>
<u>Before we begin, you need to remember the following rule:</u>
\frac{x^a}{x^b} = x^{a-b}

<u>The given expression is:</u>
\frac{12}{12^3}

Since the base is the same in both numerator and denominator, we can apply the above rule. <u>This means that:</u>
\frac{12}{12^3} = 12¹⁻³ = 12⁻²

<u><em>Part 2:</em></u>
<u>Before we begin, you need to remember the following rule:</u>
x⁻ᵃ = \frac{1}{x^a}

Now, <u>from part 1</u>, we simplified the expression into 12⁻²
Since the power is negative, we can apply the above rule.
<u>This means that:</u>
12⁻² = \frac{1}{(12)^2} =  \frac{1}{12*12} = \frac{1}{144}

Hope this helps :)
Anon25 [30]3 years ago
5 0
Part A: You can subtract the exponents 1 and 3 to end up with 12^-2. Then, you can simplify it into a fraction.

Part B: 12 ^ -2 = 1 / (12^2) = 1 / 144 OR about 0.007
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