Express the product of 1.3x10⁴ and 3.4x10^-2 in the standard form.

5

(a)

The distance between the Earth and a star is 7.83 x 10⁵ km. Convert it into usual form.

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(a)

Investigating Solar System The table shows the average distance from each planet in our solar system to the Sun.

Planet	Distance from Sun (km)	Distance from Sun in (km) Standard Notation
Earth	149600000
Jupiter	778300000
Mars	227900000
Mercury	57900000
Neptune	4497000000
Pluto	5900000000
Saturn	1427000000
Uranus	2870000000
Venus	108200000

(a) Write the distance from each planet to the Sun in standard notation.
(b) Arrange the planets from closest to the Sun to farthest from the Sun.

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(a)

Find the value of x^-3 , if x = (100)^{1- 4} + (100)⁰.

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(a)

While studying her family's history. Shikha discovers records of ancestors 12 generations back. She wonders how many ancestors she has had in the past 12 generations. She starts to make a diagram to help her figure this out. The diagram soon becomes very complex.

(a) Make a table showing the number of ancestors in each of the 12 generations.
(b) Write an equation for the number of ancestors in a given generation n.

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(a)

If \(\frac{p}{q}=(\frac{3}{7})^{-3}\times (\frac{21}{12})^{-3}\) then find \((\frac{p}{q})^{-1}\).

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(a)

Find the value of (5^-1-2^-1)^-1 - (2^-1-5^-1)

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(a)

By What number \((\frac{-1}{2})^{-3}\) be divided, so that the quotient may be \((\frac{4}{5})^{-2}\)?

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(a)

Expand the following numbers: 207.52

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(a)

Expand the following numbers: 300.05

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(a)