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What is the value of 2 raised to the power 5?
A. 16
B. 32
C. 25
D. 64
Correct Answer Is Option = 32
Notes / Explanation
The value of two raised to the power five is thirty-two, and this calculation provides a good opportunity to understand the idea of powers, which is an important concept in mathematics. Raising a number to a power is a way of expressing the repeated multiplication of a number by itself, and the power, which is written as a small number above and to the right of the main number, tells us how many times the number is to be multiplied by itself. So two raised to the power five means two multiplied by itself five times, that is two times two times two times two times two. Working this out step by step, two times two is four, four times two is eight, eight times two is sixteen, and sixteen times two is thirty-two, so that two raised to the power five equals thirty-two. The idea of powers is a very useful shorthand, because it allows the repeated multiplication of a number by itself to be written and spoken of in a brief and convenient way, instead of writing out the multiplication in full, which would become very long for large powers. Powers appear frequently in mathematics and in many of its applications. The powers of two, in particular, are of special importance in the field of computing, because computers work with a system of numbers based on two, so that quantities of computer memory and storage are commonly expressed in powers of two, which is why numbers such as sixteen, thirty-two, sixty-four and so on, which are all powers of two, appear so often in connection with computers and electronic devices. Powers are also used in the expression of very large and very small numbers in a compact form, in the calculation of areas and volumes, and in many formulas in science and mathematics. Understanding the meaning of a power and being able to work out the value of a number raised to a power are useful skills, and questions involving powers are common in examinations. For PPSC and other competitive examinations, the key points to remember are that two raised to the power five equals thirty-two, that raising a number to a power means multiplying the number by itself the number of times shown by the power, that two raised to the power five means two multiplied by itself five times, and that the powers of two are especially important in computing because computers work with a system of numbers based on two.
