Find the cube root of -343
To find the cube root of -343, follow these steps:
Step 1: Determine the sign of the number. In this case, the number is -343, which is negative.
Step 2: Express the number as the product of prime factors. The prime factorization of 343 is 7 × 7 × 7, or 7³.
Step 3: Take the cube root of the absolute value of the number. The absolute value of -343 is 343.
Step 4: The cube root of 343 is 7.
Step 5: Since the original number was negative, the final answer is -7.
Therefore, the cube root of -343 is -7.
To find the cube root of -343, we can use the fact that any number raised to the power of 1/3 gives its cube root. Here's how you can do it:
Step 1: Write down the number -343.
Step 2: Now, think about which number, when multiplied by itself three times, gives -343. The answer is -7 because -7 * -7 * -7 = -343.
Therefore, the cube root of -343 is -7.