Simplify the following terms.
10⋅10−2:104+100
Für diese Aufgabe benötigst Du folgendes Grundwissen: Power Laws
10⋅10−2:104+100 = ↓ Apply the power laws step by step on the left three terms.
= 101−2:104+100 = 10−1:104+1 = 10−1−4+1 = 10−5+1 ↓ For the sum, there is no power law. But you can conveniently express everything as a decimal number.
= 1.00001 Do you have a question?
x−1⋅x2⋅x0⋅x−3⋅x4
Für diese Aufgabe benötigst Du folgendes Grundwissen: Power Laws
x−1⋅x2⋅x0⋅x−3⋅x4 = ↓ Apply the power laws.
= x−1+2+0−3+4 = x2 Do you have a question?
10−1+10−2
Für diese Aufgabe benötigst Du folgendes Grundwissen: Power Laws
10−1+10−2 = ↓ Convert into fractions.
= 101+1001 ↓ Get both fractions to a common denominator.
= 10010+1001 = 10011 Do you have a question?
x−1+x−2
Für diese Aufgabe benötigst Du folgendes Grundwissen: Power Laws
x−1+x−2 = ↓ Apply the power laws.
= x1+x21 ↓ Get both fractions to a common denominator.
= x2x+x21 = x21+x Do you have a question?
x−2−x4x2
Für diese Aufgabe benötigst Du folgendes Grundwissen: Power Laws
x−2−x4x2 = ↓ Apply the power laws.
= x−2−x2−4 = x−2−x−2 = 0 Do you have a question?
(x1+x−2)⋅2x
Für diese Aufgabe benötigst Du folgendes Grundwissen: Power Laws
(x1+x−2)⋅2x = ↓ Write as fractions.
= (x1+x21)⋅2x ↓ Multiply out.
= x2x+x22x ↓ You can still shorten these fractions.
= x2⋅x+x⋅x2⋅x = 2+x2 Do you have a question?
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