Exponents and Powers (IMO- Mathematics Olympiad Class 8): Questions 42 - 49 of 61

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Question number: 42

» Exponents and Powers

MCQ▾

Question

If 115×5x5x1=50 , then the value of x is________.

Choices

Choice (4) Response
a.

2

b.

4

c.

1

d.

3

Question number: 43

» Exponents and Powers

MCQ▾

Question

When simplified, (x1+y1)1 is equal to________

Choices

Choice (4) Response
a.

1xy1+xy

b.

xy

c.

xyx+y

d.

x1xy

Question number: 44

» Exponents and Powers

MCQ▾

Question

Number of prime factors in (512)13×(1024)13×(1728)13 is

Choices

Choice (4) Response
a.

4

b.

9

c.

6

d.

8

Question number: 45

» Exponents and Powers

MCQ▾

Question

The value of (5)3×355×32 is________.

Choices

Choice (4) Response
a.

675

b.

690

c.

630

d.

655

Question number: 46

» Exponents and Powers

MCQ▾

Question

If 92×2x2x1=64 , then the value of x is________.

Choices

Choice (4) Response
a.

3

b.

2

c.

1

d.

4

Question number: 47

» Exponents and Powers

MCQ▾

Question

Simplify: (xa.xb)(ab)×(xb.xc)(bc)×(xc.xa)(ca)

Choices

Choice (4) Response
a.

0

b.

1

c.

(a+b+c)2

d.

(a2+b2+c2)

Question number: 48

» Exponents and Powers

MCQ▾

Question

If ax=by=cz and a2=bc , then x equals

Choices

Choice (4) Response
a.

2yxy+z

b.

y+z2yx

c.

2yzy+z

d.

2xzx+z

Question number: 49

» Exponents and Powers

MCQ▾

Question

When simplified, (x1+y)1 is equal to________.

Choices

Choice (4) Response
a.

x1+xy

b.

x1xy

c.

xy

d.

1xy1+xy

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