−15+45(15e−10)−10e
To simplify the expression, we can start by multiplying 45 by 15e−10:
45(15e−10) = 675e−10
Now we can substitute this back into the original expression:
−15 + 675e−10 − 10e
This is the simplest form of the expression.
To simplify the expression −15+45(15e−10)−10e, follow the order of operations (PEMDAS/BODMAS):
Step 1: Start with the innermost parentheses.
15e−10
Step 2: Apply the exponent.
15e^(-10)
Step 3: Evaluate the exponential term.
15 * e^(-10)
Step 4: Multiply the remaining terms outside the parentheses.
45 * (15 * e^(-10))
Step 5: Multiply the two numbers.
675 * e^(-10)
Step 6: Subtract 10e from the result.
675 * e^(-10) - 10e
This is the simplified form of the expression.
To simplify the given expression:
−15 + 45(15e−10) − 10e
Let's break it down step by step:
Step 1: Simplify the exponent term (15e−10)
The exponential term 15e−10 can be simplified using the property a^m * a^n = a^(m+n).
15e−10 = 15 * e^−10
Step 2: Simplify the expression −10e
There is no further simplification possible for the term -10e.
So, now the expression becomes:
−15 + 45(15 * e^−10) - 10e
Step 3: Multiply 45 by 15
45 multiplied by 15 equals 675. The expression becomes:
−15 + 675 * e^−10 - 10e
Step 4: Distribute the multiplication across the terms
675 multiplied by e^−10 equals 675e^−10.
The expression becomes:
−15 + 675e^−10 - 10e
Step 5: Combine like terms
Since -15 and -10e are constants, we can combine them and write the expression as:
-15e - 10e = -25e
So, the final simplified expression is:
675e^−10 - 25e.