October 2018 1 43 Report

1.Oblicz.

a) 9x^{\frac{3}{2}}

b) 125^\frac{2}{3}

c) 27^-^\frac{2}{3}

d) 8^-^\frac{4}{3}

e) 3^3*27^-^\frac{4}{3}

f) 2^2*8^\frac{2}{3}

g) 10000^0^,^2^5

h)  81^-^0^,^1^2^5

2.Zapisz liczbę w postaci potęgi o podstawie 3.

a) 3^4*3^1^-^\sqrt{2}

b) 3^3/3^3/3^2^-^\sqrt{2}

c) (3^\sqrt{2})^2^\sqrt{2}

d) (3^\sqrt{3})^1^-^\sqrt{3}

e) 6^\sqrt{7}/2^\sqrt{7}

f)(\sqrt{3})^\pi*(\sqrt{3})^\pi


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