Question

(8^1/3)^2-(1/16)^1/4+1-5

Answer 1

Ответ:

$- \frac{1}{2}$

Answer 2

Let's break down the expression step by step:

Step 1: Evaluate the first term within parentheses: (8^(1/3))^2.

• The cube root of 8 is 2 since 2 * 2 * 2 = 8.
• Squaring 2 gives us 4. So, (8^(1/3))^2 = 4.

Step 2: Evaluate the second term: (1/16)^(1/4).

• The fourth root of 1/16 is 1/2 since (1/2) * (1/2) * (1/2) * (1/2) = 1/16. So, (1/16)^(1/4) = 1/2.

Step 3: Simplify the expression: 4 - 1/2 + 1 - 5.

Step 4: Combine like terms: 4 + 1 - 5 - 1/2.

Step 5: Perform arithmetic operations from left to right: 5 - 5 - 1/2.

Step 6: Subtract 5 from 5, which equals 0.

Step 7: Subtract 1/2 from 0, which gives us -1/2.

Therefore, the final result of the expression (8^(1/3))^2 - (1/16)^(1/4) + 1 - 5 is -1/2.