For how many integers does the equation $|m|^m = m * m$ hold true, given that m is not equal to 0?

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Correct

more than 3

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Explanation

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Official Explanation

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To solve the equation

|m|^m = m * m

, we first analyze the cases for positive and negative integers. For positive integers, if m = 1, then

|1|^1 = 1 * 1

holds true. If m = 2, then

|2|^2 = 2 * 2

also holds true. However, for m = 3,

|3|^3 = 3 * 3

does not hold true since [m]27…

Comments

ShivamMar 23, 2025

thanksss

5026Jun 24, 2024

can you explain more?

ShankarJan 19, 2024

Thanks for sharingThank you for sharing!!thanks for sharing

What this question tests

Your grasp of exponent rules — multiplying and dividing powers, power-of-a-power, and negative/zero exponents.

Adding exponents when multiplying bases that have the same exponent, or confusing (x^a)^b with x^(a·b).