2025年1月20日 · 3 16 x 7 y 8 = 3 16 × 3 x 7 × 3 y 8 Cube Root of 16: The cube root of 16 is approximately a constant value of 2.52. This is a numerical approximation since 16 is not a perfect cube, and it doesn't simplify to an integer or rational number. Cube Roots of Variables: For x 7, we can write it as (x 7) 1/3 = x 7/3. For y 8, we can write it as (y 8 ...

2025年1月20日 · So we can rewrite the expression as: (16 x 7 y 6) 3 1 Apply the power to each part separately: The property (ab c) n = a n b n c n allows us to simplify: 1 6 3 1 × (x 7) 3 1 × (y 6) 3 1 Simplify each term: 1 6 3 1 : This is the cube root of 16, which approximately equals 2.5198. (x 7) 3 1 : We use the property of exponents that (a m) n = a m ...

2025年1月15日 · 3 16 x 7 ⋅ 3 12 x 9 = 3 (16 x 7) ⋅ (12 x 9) ### Step 2: Multiply Inside the Cube Root Multiply the constants and the variables: 16 ⋅ 12 = 192 For the x terms, apply the laws of exponents to get: x 7 ⋅ x 9 = x 7 + 9 = x 16 So, we now have: 3 192 x 16 ### Step 3: Separate the Expression Inside the Cube Root We can take the cube root of ...

2020年9月30日 · According to the given information, the angles are (x+16) and (4x-5). Therefore, we can set up the following equation: x + 16 = 4x - 5. To solve for x, we'll isolate it on one side of the equation. Let's solve the equation step by step: x - 4x = -5 - 16 (subtract x from both sides and simplify)-3x = -21 (combine like terms)

So, 3 16 x 7 × 3 12 x 9 = 3 (16 x 7) (12 x 9) Now we can multiply the coefficients and combine the terms with the same base: = 3 16 ⋅ 12 ⋅ x 7 + 9 = 3 192 ⋅ x 16 Next step is to factor 192 to find its cube root: 192 = 64 ⋅ 3 = 4 3 ⋅ 3

2022年12月8日 · Isolate x: To find the value of x, you need to isolate it on one side of the equation. To do this, divide both sides by 0.16: x = 0.16 7 Perform the Division: Now calculate the right side: x = 43.75. Conclusion: Therefore, the solution to the equation 0.16 x = 7 is x = 43.75. You can verify this by substituting the value of x back into the ...

2020年6月23日 · To find the product of the expressions 3 16 x 7 and 3 12 x 9 , we can use the property of radicals that states n a × n b = n a × b . Therefore, we can combine the two cube roots: 3 16 x 7 × 3 12 x 9 = 3 (16 x 7) × (12 x 9) Now, calculate the product inside the cube root: 16 × 12 = 192 x 7 × x 9 = x 7 + 9 = x 16. Putting it together: 3 192 ...

Therefore, we rewrite the product as: 3 16 x 7 ⋅ 12 x 9 Now, we need to simplify the expression inside the cube root: 16 x 7 ⋅ 12 x 9 = (16 ⋅ 12) (x 7 ⋅ x 9). Calculating the constants, we get: 16 ⋅ 12 = 192 And for the variable part, we can combine the exponents of the same base using x a ⋅ x b = x a + b : x 7 ⋅ x 9 = x 7 + 9 = x ...

2025年1月14日 · - 3 16 x 7 - 3 12 x 9 The expression can thus be rewritten into one cube root: 3 16 x 7 ⋅ 3 12 x 9 = 3 (16 x 7) (12 x 9) ### Step 2: Multiply Under the Cube Root First, let's multiply the constants and the variables separately: 1. Multiply the constants: 16 × 12 = 192 2. Multiply the powers of x: x 7 × x 9 = x 7 + 9 = x 16 The expression ...

We can do this by adding y to both sides and adding 4 to both sides: 16 x − y = 112 − 4. Combine like terms: This simplifies to: 16 x − y = 108. Now, we have the equation in standard form, which is usually written as A x + B y = C. In this case, it is: 16 x − y = 108. Thus, the equation y − 4 = 16 (x − 7) can be expressed in ...