Pravidlá pre počítanie s mocninami | math4u.vsb.cz

Pridané používateľom michaela.bailova dňa Po, 11/27/2023 - 14:45

Project ID:

7100020027

Accepted:

Podoblasť:

Mocniny a odmocniny

Typ:

Layout:

Question:

Priraďte výrazy, ktoré sa rovnajú, pre všetky kladné reálne čísla

x

a

y

.

Question 1:

{(x^{2})}^{3}

Answer 1:

x^{6}

Question 2:

x^{- \frac{1}{4}} \cdot x^{\frac{3}{4}}

Answer 2:

x^{\frac{1}{2}}

Question 3:

{(x^{- \frac{1}{2}})}^{- 2}

Answer 3:

x

Question 4:

\frac{x^{- \frac{2}{5}}}{x^{\frac{3}{5}}}

Answer 4:

x^{- 1}

Question 5:

x^{5} \cdot y^{5}

Answer 5:

$(x y)^{5}$

Question 6:

\frac{x^{3}}{y^{3}}

Answer 6:

{(\frac{x}{y})}^{3}

Question 7:

{(\frac{1}{x})}^{- 2}

Answer 7:

x^{2}

Question 8:

2^{- 1} \cdot \frac{4}{x^{- 2}}

Answer 8:

2 x^{2}

Question 9:

{[{(2^{0} \cdot x^{- 2})}^{- 2}]}^{- 2}

Answer 9:

x^{- 8}