Evaluate: 9 5 3 ÷ 9 5 5 2

Given expression is 9 5 3 ÷ 9 5 5 2 . We need to simplify the given expression and then express the result in exponential form. If ' x ' is a non-zero rational number and ' m ' and ' n ' are natural numbers, then x m ÷ x n = x m - n . For example: 7 4 ÷ 7 3 = 7 4 - 3 = 7 Now, 9 5 3 ÷ 9 5 5 2 = 9 5 3 - 5 2 = 9 5 - 2 2 = 9 5 - 4 ∵ a m n = a m × n Hence, the required answer is 9 5 - 4 .

E M B I B E

Mathematics Textbook of Competency Based Questions for Class VIII>Chapter 10 - Exponents and Powers>Exercise>Q 2

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8th CBSE

IMPORTANT

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The distance of planet Neptune from the sun is $4495000000000000 km$ . Which of the following can be another way of representing the distance (in km) between the Neptune and the Sun?

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Important Questions on Exponents and Powers

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IMPORTANT

Mathematics Textbook of Competency Based Questions for Class VIII>Chapter 10 - Exponents and Powers>Exercise>Q 3

The mass of earth is

5.97 \times 10^{24} kg

, whereas Jupiter has a mass of

1.8986 \times 10^{27} kg

. About how many times massive is Jupiter than Earth?

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8th CBSE

IMPORTANT

Mathematics Textbook of Competency Based Questions for Class VIII>Chapter 10 - Exponents and Powers>Exercise>Q 4

Rajat created an informative message. He forwards the message to

5

people. Each of the five people forward the message to next

5

people and the chain goes on. Rajat did not forward the message. How many people have it?

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8th CBSE

IMPORTANT

Mathematics Textbook of Competency Based Questions for Class VIII>Chapter 10 - Exponents and Powers>Exercise>Q 5

Rajat created an informative message. He forwards the message to

5

people. Each of the five people forward the message to next

5

people and the chain goes on. The message is forwarded

5

times. Which of the following calculation can be used to find number of times message is forwarded?

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8th CBSE

IMPORTANT

Mathematics Textbook of Competency Based Questions for Class VIII>Chapter 10 - Exponents and Powers>Exercise>Q 6

Which of the following represents the product of

1.0878 \times 10^{12} and 4.0 \times 10^{7} ?

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IMPORTANT

Mathematics Textbook of Competency Based Questions for Class VIII>Chapter 10 - Exponents and Powers>Exercise>Q 7

Evaluate: ${[{(\frac{9}{5})}^{3} \div {(\frac{9}{5})}^{5}]}^{2}$

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8th CBSE

IMPORTANT

Mathematics Textbook of Competency Based Questions for Class VIII>Chapter 10 - Exponents and Powers>Exercise>Q 8

Which of the following shows the relation between

mm and km ?

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8th CBSE

IMPORTANT

Mathematics Textbook of Competency Based Questions for Class VIII>Chapter 10 - Exponents and Powers>Exercise>Q 9

If

10^{2 y} = 25

, then

10^{- y}

equals

HARD

8th CBSE

IMPORTANT

Mathematics Textbook of Competency Based Questions for Class VIII>Chapter 10 - Exponents and Powers>Exercise>Q 10

Riya and Priya went to a Maths fair hosted by their neighbouring school. There was a stall called Exponents where they liked a mathematical toy. They asked the person standing at the stall about the price of the toy. The person told them that the price of the toy is