−15+4/5(15e−10)−10e
To simplify the expression −15+4/5(15e−10)−10e, we can start by evaluating the expression inside the parentheses first.
15e−10 can be rewritten as 15 * e^(-10).
Therefore, the expression becomes: −15+4/5(15 * e^(-10))−10e
Next, we can multiply 4/5 with 15 * e^(-10):
4/5 * (15 * e^(-10)) = (4/5) * 15 * e^(-10) = (12 * e^(-10))
The expression now becomes: −15+(12 * e^(-10))−10e
Finally, we can rearrange the expression to make it easier to read:
−10e − 15 + 12 * e^(-10)
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To simplify the expression −15+4/5(15e−10)−10e, we will follow the order of operations (BEDMAS/BODMAS).
Step 1: Calculate the exponential term
15e^(-10) ≈ 15 * 2.20264657948068e-5 (approximately)
≈ 0.000330396986921103
Step 2: Multiply 4/5 by the result obtained in step 1
4/5 * 0.000330396986921103 ≈ 0.0002643175895368825
Step 3: Evaluate the expression -15 + 0.0002643175895368825 - 10e
Now let's substitute the value for e (approximately 2.718281828459045):
-15 + 0.0002643175895368825 - 10 * 2.718281828459045
≈ -15 + 0.0002643175895368825 - 27.18281828459045
≈ -42.18255496600045 + 0.0002643175895368825
≈ -42.182290648410915
Therefore, the simplification of the given expression −15+4/5(15e−10)−10e is approximately -42.182290648410915.
To simplify the expression −15 + 4/5(15e^−10)−10e, we'll follow the order of operations (PEMDAS/BODMAS) to perform the calculations step by step.
1. Evaluate the exponent:
e^−10 = ≈ 4.539992976 * 10^−5
2. Multiply 4/5 by 15e^−10:
4/5 * 15e^−10 = 4/5 * 15 * ≈ 4.539992976 * 10^−5 = ≈ 0.0355199248106
3. Next, let's calculate −15 + 0.0355199248106 − 10e:
−15 + 0.0355199248106 − 10e = −15 + 0.0355199248106 − 10 * e
Since the value of e is not specified, we'll assume it represents Euler's number, which is approximately 2.71828.
−15 + 0.0355199248106 − 10e =
−15 + 0.0355199248106 − 10 * 2.71828 =
−50.1828 + 0.0355199248106 ≈ −50.1472800751894
Therefore, the simplified form of the expression −15 + 4/5(15e^−10)−10e is approximately −50.1472800751894.