Question: By what number (4) -3 be multiplied so that the product become 1/16? Question 1: If x 11 = y 0 and x=2y, then y is equal toĪnswer : Option A. You can download Exponents and Powers Cheat Sheet by clicking on the download button below Laws of Exponent at a Glance Law of Reciprocal X 1/n = n√x and x m/n=n√x m Product Law of Exponents In fractional exponent, the numerator is the power to which the number should be taken and the denominator is the root which should be taken. ThusĪ −n = 1/a n Exponent with Fractional Indexįractional Exponents also called Rational Exponents.

If we have a number with negative index, say a −n then we can represent it in terms of a positive index by taking its reciprocal. It means that when a number has a negative exponent, the given number is a decimal number. Browse more Topics under Exponents And PowersĬan that exponent be negative? The answer is yes. When these exponents are used for mathematical equations they follow a certain set of laws that makes the equations easy to solve and simple to understand. This will be read as “twelve raised to the power 54” For example, in 12 54 the base is 12 and the index is 54. Here 7 is called the base and the power or the exponent is known as the index. Instead of writing it as this we shorten it and write it as 7³ making it simpler to understand. 7³ is read as ‘7 raised to the power three’ or ‘seven cubed’.

Exponents are a short form to indicate the total times a number is to be multiplied by itself.

Other words for exponent in math