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

Question

7−24=? 7^{-24}=\text{?}

Video Solution

Solution Steps

00:05 Let's solve this problem together!
00:08 When you raise any number, let's call it A, to the power of N,
00:13 it equals 1 divided by A to the power of negative N.
00:19 Let's use this rule on our question.
00:21 The number 7 becomes 1 divided by 7.
00:26 The exponent negative 24 becomes positive 24, because a negative times a negative is positive.
00:33 So our solution is: 1 over 7 to the power of 24.
00:38 And that's how we solve this problem!

Step-by-Step Solution

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

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

7−24=1724 7^{-24}=\frac{1}{7^{24}} Therefore, the correct answer is option D.

Answer

1724 \frac{1}{7^{24}}

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Related Subjects

Negative Exponents Exponents and Exponent rules Rules of Exponentiation Combining Powers and Roots Properties of Exponents Exponents - Special Cases

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