Calculate 7^(-24): Solving Negative Power Expressions

Question

$7^{-24}=\text{?}$

Video Solution

Solution Steps

00:00 Solve the following problem

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 this to the question

00:11 The number(7) becomes 1 divided by(7)

00:14 and the exponent(-24) becomes -(-24)

00:17 A negative multiplied by a negative becomes positive hence the exponent is 24

00:20 This is the solution

Step-by-Step Solution

Using the rules of negative exponents: how to raise a number to a negative exponent:

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

$7^{-24}=\frac{1}{7^{24}}$ Therefore, the correct answer is option D.

Answer

$\frac{1}{7^{24}}$

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