Evaluate the Expression: Finding the Value of a⁻⁴

Question

$a^{-4}=\text{?}$

$(a\ne0)$

Video Solution

Solution Steps

00:00 Simplify the expression

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 it to the question

00:11 The number (A) becomes 1 divided by (A)

00:14 and the power (-4) becomes -(-4)

00:17 negative times negative becomes positive, so the exponent is 4

00:20 and this is the solution to the question

Step-by-Step Solution

We begin by using the negative exponent rule.

$b^{-n}=\frac{1}{b^n}$ We apply it to the problem:

$a^{-4}=\frac{1}{a^4}$ Therefore, the correct answer is option B.

Answer

$\frac{1}{a^4}$

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Question Types

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