Answer :

Using the third law of exponents, If a ≠0 is a number and m, n are integers, then (a^{m})^{n}= a^{mn}

Using For any a ≠ 0, and integers m, n,

a^{m} × a^{n} = a^{m+n}

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If 2^{x} − 2^{x−2} = 192, the value of x is

Find the value of each of the following expressions:

Karnataka Board - Mathematics Part II

Find the value of each of the following expressions:

Karnataka Board - Mathematics Part II

The diameter of the Sun is 1.4 × 10^{9} meters and that of the Earth is about 1.2768 × 10^{7} meters. Find the approximate ratio of the diameter of the Sun to that of the Earth.

Suppose 3^{k} × b^{2} = 6^{4} for some positive integers k, b. Find all possible values of k + b.

If a^{7} = 3, find the value of .

The number is equal to

Karnataka Board - Mathematics Part IIThe value of (3^{m})^{n}, for every pair of integers (m,n), is

Find the value of each of the following expressions:

Karnataka Board - Mathematics Part II