Solution of Chapter 2. Powers (RD Sharma - Mathematics Book)

Express each of the following as a rational number of the form, where p and q are integers and q0:

(i) 2^-3

(ii) (-4)^-2

(iii)

(iv)

(v)

Find the values of each of the following:

(i)

(ii)

(iii)

(iv)

Find the values of each of the following:

(i)

(ii)

(iii)

(iv)

Simplify:

(i)

(ii)

(iii)

(iv)

Simplify:

(i)

(ii)

(iii)

(iv)

By what number should 5^-1 be multiplied so that the product many be equal to (-7)^-1?

By what number should be multiplied so that the product may be equal to ?

By what number should (-15)^-1 be divided so that the quotient may be equal to (-5)^-1?

Write each of the following in exponential form:

(i)

(ii)

Evaluate:

(i) 5^-2

(ii) (-3)^-2

(iii)

(iv)

Express each of the following as a rational number in the form:

(i) 6^-1

(ii) (-7)^-1

(iii)

(iv)

(v)

Simplify:

(i)

(ii)

(iii)

(iv)

(v)

Express each of the following rational numbers with a negative exponent:

(i)

(ii) 3⁵

(iii)

(iv)

(v)

Express each of the following rational numbers with a positive exponent:

(i)

(ii)

(iii)

(iv)

(v)

Simplify:

(i)

(ii)

(iii)

(iv)

(v)

By what number should 5^-1 be multiplied so that the product may be equal to (-7)^-1 ?

By what number should be multiplied so that the product may be equal to ?

By what number should (-15)^-1 be divided so that the quotient may be equal to (-5)^-1 ?

By what number should be multiplied so that the product may be?

Find x, if

(i)

(ii)

(iii)

(iv)

(v)

(vi)

If x=, find the value of x^-2.

If x = , find the value of x^-1.

Find the value of x for which.

Express the following numbers in standard form:

(i) 6020000000000000

(ii) 0.00000000000942

(iii) 0.00000000085

(iv)

(v)

(vi) 0.00072984

(vii) 0.000437

(viii)

Write the following numbers in the usual form:

(i)

(ii)

(iii)

(iv)

(v)

(vi)

(vii)

(viii)