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властивості степеня з натуральним показником

Total questions: 20

Worksheet time: 17mins

Name
Class
Date
1.

x5⋅x7=...x^5\cdot x^7=...

a)

x35x^{35}

b)

x24x^{24}

c)

2x352x^{35}

d)

x12x^{12}

2.

b12: b3=...b^{12}:\ b^3=...

a)

b9b^9

b)

b4b^4

c)

11

d)

b15b^{15}

3.

(a5)3=...\left(a^5\right)^3=...

a)

a2a^2

b)

a15a^{15}

c)

a35a^{35}

d)

a8a^8

4.

m⋅m9=m\cdot m^9=

a)

m10m^{10}

b)

m9m^9

c)

m19m^{19}

d)

2m92m^9

5.

c6: c=...c^6:\ c=...

a)

6

b)

c3c^3

c)

161^6

d)

c5c^5

6.

n3⋅n⋅n4=...n^3\cdot n\cdot n^4=...

a)

n12n^{12}

b)

n7n^7

c)

n8n^8

d)

n13n^{13}

7.

(a+b)36: (a+b)9=...\left(a+b\right)^{36}:\ \left(a+b\right)^9=...

a)

(a+b)27\left(a+b\right)^{27}

b)

4

c)

(a+b)25\left(a+b\right)^{25}

d)

(a+b)4\left(a+b\right)^4

8.

(y3)4⋅y10=...\left(y^3\right)^4\cdot y^{10}=...

a)

y70y^{70}

b)

y22y^{22}

c)

y17y^{17}

d)

y120y^{120}

9.

(b4)6: b2=...\left(b^4\right)^6:\ b^2=...

a)

b12b^{12}

b)

b5b^5

c)

b22b^{22}

d)

b8b^8

10.

(a3)6⋅(a4)7=...\left(a^3\right)^6\cdot\left(a^4\right)^7=...

a)

a46a^{46}

b)

a99a^{99}

c)

a20a^{20}

d)

a504a^{504}

11.

Обчисліть
913: 911=...9^{13}:\ 9^{11}=...

(a)  

12.

Обчисліть 26⋅24=...2^6\cdot2^4=...

(a)  

13.

Обчисліть (57)3: 518=...\left(5^7\right)^3:\ 5^{18}=...

(a)  

14.

0,723:(0,75)4=...0,7^{23}:\left(0,7^5\right)^4=...

(a)  

15.

(0,34)8 : (0,37)4=...\left(0,3^4\right)^8\ :\ \left(0,3^7\right)^4=...

(a)  

16.

0,235⋅535=...0,2^{35}\cdot5^{35}=...

(a)  

17.

2,518⋅0,418=...2,5^{18}\cdot0,4^{18}=...

(a)  

18.

0,86⋅12,56=...0,8^6\cdot12,5^6=...

(a)  

19.

2101⋅0,5100=...2^{101}\cdot0,5^{100}=...

(a)  

20.

(27)11⋅(78)11⋅411=...\left(\frac{2}{7}\right)^{11}\cdot\left(\frac{7}{8}\right)^{11}\cdot4^{11}=...

(a)