Exponents and Powers Test

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Exponents and Powers Test - 7

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Weekly Quiz Competition

Question 1
1 / -0

When 5 × 10⁻³−2000 × 10⁻⁶ is expressed in standard form, we will get

A
3×10⁻²

B
3×10⁻³

C
3×10³

D
3×10²

Solution

We have, 5×10⁻³−2000 × 10⁻⁶ =5 × 10⁻³− 2 × 10³ × 10⁻⁶ =5 × 10⁻³−2 × 10³⁻⁶ = 5×10⁻³−2 × 10⁻³ =( 5 − 2) × 10⁻³ = 3 × 10⁻³
Question 2
1 / -0

If 3^(x−y)=27 and 3^(x+y)=243, then x is equal to ____.

A
0

B
2

C
4

D
6

Solution

3^(x−y) = 27 or 3^(x−y) = (3)³ ∴ x − y = 3 ?(i) Also, 3^(x+y) = 243 or 3^(x+y) = (3)⁵ ∴x + y = 5 ?(ii) On adding (i) and (ii), we get

2x = 8 ⇒ x = 4
Question 3
1 / -0

Find x, if (5/11)⁻³×(5/11)⁵=(5/11)^x

A
3

B
4

C
8

D
2

Solution

We have, (5/11)⁻³ × (5/11)⁵ = (5/11)^x ⇒(5/11)⁻³⁺⁵ = (5/11)^x ⇒ (5/11)² = (5/11)^x ∴ x = 2
Question 4
1 / -0

Pluto is 5913000000 km away from the Sun. Express this distance in standard form.

A
5.913×10⁻¹¹

B
5.913 ×10⁻⁹

C
5.913×10⁶

D
5.913×10⁹
Question 5
1 / -0

The cell of bacteria doubles itself after every 1 hour. How many cells will there be after 8 hours?

A
200 times of the original

B
2¹⁰ times of the original

C
2⁸ times of the original

D
2⁶ times of the original

Solution

Let no. of cells al present be x No. of cells after 1 hour = 2x No. of cells after 2 hours=2(2x) = 4x = 2²x No. of cells after 3 hours = 2(4x) = 8x = 2³x ∴ No. of cells after 8 hours

=2⁸x
Question 6
1 / -0

At the end of the 20th century, the world's population was approximately6.125×10⁹. Express this population in usual form.

A
6.125×10¹⁰

B
6125000000

C
6125×10⁵

D
612500000

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Re-Attempt Weekly Quiz Competition

Exponents and Powers Test - 7

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Exponents and Powers Test - 7

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Question 1

3×10−2

3×10−3

3×103

3×102

Solution

Question 2

0

2

4

6

Solution

Question 3

3

4

8

2

Solution

Question 4

5.913×10−11

5.913 ×10−9

5.913×106

5.913×109

Question 5

200 times of the original

210 times of the original

28 times of the original

26 times of the original

Solution

Question 6

6.125×1010

6125000000

6125×105

612500000

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3×10⁻²

3×10⁻³

3×10³

3×10²

5.913×10⁻¹¹

5.913 ×10⁻⁹

5.913×10⁶

5.913×10⁹

2¹⁰ times of the original

2⁸ times of the original

2⁶ times of the original

6.125×10¹⁰

6125×10⁵