How many exponent rules are there

Note: i Exponents can be added only when the bases are same. For example: 1. We observe that the two numbers with the same base are multiplied; the product is obtained by adding the exponent. Note: In general, for any non-zero integer a, b. Note: Where m is any whole number. If the exponent is negative we need to change it into positive exponent by writing the same in the denominator and 1 in the numerator.

In other words negative exponent is the reciprocal of positive exponent]. If the exponent is 0 then you get the result 1 whatever the base is. We will discuss here about the different Laws of Indices.

Here we will learn the Power of a Number. Laws of Exponents. Rational Exponent. Integral Exponents of a Rational Numbers. In this example, you can see how it works. Adding the exponents is just a short cut! Power Rule. The "power rule" tells us that to raise a power to a power, just multiply the exponents. Here you see that 5 2 raised to the 3rd power is equal to 5 6. Quotient Rule. The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents.

You can see why this works if you study the example shown. According to the "zero rule," any nonzero number raised to the power of zero equals 1.

Negative Exponents. The last rule in this lesson tells us that any nonzero number raised to a negative power equals its reciprocal raised to the opposite positive power. Rules of 1 There are two simple "rules of 1" to remember. Product Rule The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. Power Rule The "power rule" tells us that to raise a power to a power, just multiply the exponents. Quotient Rule The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents.

Zero Rule According to the "zero rule," any nonzero number raised to the power of zero equals 1.