Calculate 1/12³: Solving a Cube Fraction Problem

Question

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

Video Solution

Solution Steps

00:00 Solve

00:03 According to the laws of exponents, any number(A) to the power of(-N)

00:06 equals 1 divided by the number(A) to the power of(N)

00:09 Let's apply in the question, the formula works from number to fraction and vice versa

00:12 We get the number (12) to the power of(-3)

00:16 And this is the solution to the question

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

$12^{-3}$

More Questions

Exponents Rules

Applying Combined Exponents Rules

Negative Exponents

Related Subjects

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

Question Types

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