Evaluate the Expression: Finding the Value of a⁻⁴

a−4=? a^{-4}=\text{?}

(a≠0) (a\ne0)

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Simplify the following expression
00:03 According to the laws of exponents, any number (A) raised to the power of (N)
00:06 equals 1 divided by the number (A) raised 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 A negative multiplied by a negative becomes positive, hence the exponent is 4
00:20 This is the solution

Step-by-step written solution

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1

Understand the problem

a−4=? a^{-4}=\text{?}

(a≠0) (a\ne0)

2

Step-by-step solution

We begin by using the negative exponent rule.

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

a−4=1a4 a^{-4}=\frac{1}{a^4} Therefore, the correct answer is option B.

3

Final Answer

1a4 \frac{1}{a^4}

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\( 112^0=\text{?} \)

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