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

Video Solution

Solution Steps

00:00 Solve

00:03 According to the laws of exponents, any number(A) to the power of(N)

00:06 equals 1 divided by number(A) to the power of(-N)

00:09 Let's apply to the question

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

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

00:17 negative times negative becomes positive so the exponent is 24

00:20 and this is the solution to the question

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.