## RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers Ex 2.2

These Solutions are part of RD Sharma Class 9 Solutions. Here we have given RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers Ex 2.2

Question 1.

Assuming that x, y, z are positive real numbers, simplify each of the following:

Solution:

Question 2.

Simplify:

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Question 3.

Prove that:

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Question 4.

Show that:

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Question 5.

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Question 6.

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Question 7.

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Question 8.

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Question 9.

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Question 10.

Find the values of x in each of the following:

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Question 11.

If x = 2^{1}^{/3} + 2^{2/3}, show that x^{3} – 6x = 6.

Solution:

Question 12.

Determine (8x)^{x}, if 9^{x}^{+ 2} = 240 + 9^{x}.

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Question 13.

If 3^{x}^{+}^{1} = 9^{x-}^{2}, find the value of 2^{1 +x}.

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Question 14.

If 3^{4x} = (81)^{-1} and 10^{1/y} = 0.0001, find the value of 2^{-x+4y
}Solution:

Question 15.

If 5^{3x} = 125 and 10^{y} = 0.001 find x and y.

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Question 16.

Solve the following equations:

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Question 17.

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Question 18.

If a and b are different positive primes such that

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Question 19.

If 2^{x} x 3^{y} x 5^{z} = 2160, find x, y and z. Hence, compute the value of 3^{x} x 2^{-y} x 5^{-z}.

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Question 20.

If 1176 = 2^{a} x 3^{b} x 7^{c}, find the values of a, b and c. Hence, compute the value of 2^{a} x 3^{b} x 7^{-c} as a fraction.

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Question 21.

Simplify:

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Question 22.

Show that:

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Question 23.

Solution:

Hope given RD Sharma Class 9 Solutions Chapter 2 Exponents of Real Numbers Ex 2.2 are helpful to complete your math homework.

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