Solve the Cube Expression: Simplifying 1/8³ Step by Step

Question

$\frac{1}{8^3}=\text{?}$

Video Solution

Solution Steps

00:00 Converting a fraction with a positive exponent to a fraction with a negative exponent

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

00:06 Will be equal to 1 divided by the number(A) raised to the power of(N)

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

00:12 The number 1 divided by(8) becomes(8)

00:15 The power(3) becomes(-3)

00:18 This is the solution

Step-by-Step Solution

We use the negative exponent rule.

$b^{-n}=\frac{1}{b^n}$

We apply it to the problem in the opposite sense.:

$\frac{1}{8^3}=8^{-3}$

Therefore, the correct answer is option A.

Answer

$8^{-3}$

More Questions

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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