what is the value of 12 √(8^4)?
768?
correct
a homeowner recently spent $8600 to convert his heating system from oil to natural gas. his heating cost fell from $2360 a year using oil, to $960 a year using natural gas. based on changing from heating oil to natural gas, how many years will it take to recoup the cost of spending $8600 to convert to natural gas?
8600/(2360-960)
To find the value of 12√(8^4), start by evaluating the expression inside the square root, which is 8^4.
To evaluate 8^4, raise 8 to the power of 4. This means multiplying 8 by itself four times:
8^4 = 8 × 8 × 8 × 8 = 4096.
Now, substitute the value of 8^4 back into the original expression: 12√(4096).
To simplify this further, you can find the square root of 4096. A square root is a value that, when multiplied by itself, gives the original number. In this case, let's find the square root of 4096:
√4096 ≈ 64
Now, substitute the value back: 12 × 64 = 768.
Therefore, the value of 12√(8^4) is indeed 768.