Math

Question Simplify the expression e(e)(5)e(e)(-5).

Studdy Solution

STEP 1

Assumptions
1. The expression to be simplified is e(e)(5)e(e)(-5)
2. The variable ee represents the base of the natural logarithm, which is approximately equal to 2.71828
3. The expression involves multiplication of the constant ee with itself and then with 5-5

STEP 2

First, we need to recognize that the expression is a product of three factors: ee, ee, and 5-5.
e(e)(5)=e×e×(5)e(e)(-5) = e \times e \times (-5)

STEP 3

We can simplify the expression by performing the multiplication of the first two factors, which is ee multiplied by ee.
e×e=e2e \times e = e^2

STEP 4

Now, we replace the product of the first two factors with e2e^2 in the original expression.
e(e)(5)=e2×(5)e(e)(-5) = e^2 \times (-5)

STEP 5

Next, we multiply e2e^2 by 5-5.
e2×(5)=5e2e^2 \times (-5) = -5e^2

STEP 6

The expression is now simplified to 5e2-5e^2.
The simplified form of the expression e(e)(5)e(e)(-5) is 5e2-5e^2.

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