Calculate 1/12³: Solving a Cube Fraction Problem

Question

$\frac{1}{12^3}=\text{?}$

Video Solution

Solution Steps

00:04 Let's solve this problem together.

00:07 Remember, for exponents, if we have a number, A, raised to the power of negative N...

00:13 ...we get one divided by A to the power of positive N.

00:18 Let's use this rule to change from number to fraction, and back.

00:23 So, twelve to the power of negative three becomes...

00:27 ...one over twelve to the power of three. And that's how it's done!

Step-by-Step Solution

To begin with, we must remind ourselves of the Negative Exponent rule:

$a^{-n}=\frac{1}{a^n}$ We apply it to the given expression :

$\frac{1}{12^3}=12^{-3}$ Therefore, the correct answer is option A.

Answer

$12^{-3}$

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Negative Exponents Exponents and Exponent rules Rules of Exponentiation Combining Powers and Roots Properties of Exponents Exponents - Special Cases

Question Types

Applying Combined Exponents Rules: Calculating powers with negative exponents Applying Combined Exponents Rules: Presenting powers in the denominator as powers with negative exponents Applying Combined Exponents Rules: Presenting powers with negative exponents as fractions Applying Combined Exponents Rules: Monomial Negative Exponents: Calculating powers with negative exponents Negative Exponents: Presenting powers in the denominator as powers with negative exponents Negative Exponents: Presenting powers with negative exponents as fractions