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

Question

183=? \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 laws of exponents, any number(A) to the power of(-N)
00:06 Will be equal to 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 The number 1 divided by(8) becomes(8)
00:15 The power(3) becomes(-3)
00:18 And this is the solution to the question

Step-by-Step Solution

We use the negative exponent rule.

b−n=1bn b^{-n}=\frac{1}{b^n}

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

183=8−3 \frac{1}{8^3}=8^{-3}

Therefore, the correct answer is option A.

Answer

8−3 8^{-3}

More Questions

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