Zero Exponent Rule: Any number raised to the power of zero is equal to 1. Example: 3⁰ = 1。 Negative Exponent Rule: When a number is raised to a negative exponent, the result is 1 over the number raised to the positive exponent. Example: 2⁻³ = 1/2³ = 1/8。 nth Root...
The Zero Exponent Rule Also known as the zero power rule, this expression says that when a number is raised to the power of zero, the answer will be 1. The only exception is raising zero to the zero power, which is an indeterminate expression. The zero exponent law can be written symbo...
Exponents power rules Power rule I (an)m=an⋅m Example: (23)2= 23⋅2= 26= 2⋅2⋅2⋅2⋅2⋅2 = 64 Power rule II anm=a(nm) Example: 232= 2(32)= 2(3⋅3)= 29= 2⋅2⋅2⋅2⋅2⋅2⋅2⋅2⋅2 = 512 ...
Zero Rule: x0 = 1 (where x ≠ 0) Any nonzero number raised to the power of zero equals 1. Example: 540 = 1 Negative Rule: x-n = 1 / xn (where x ≠ 0) Any nonzero number raised to a negative power equals its reciprocal raised to the opposite positive power. Example: 2-3 ...
a function that is of the form {eq}f(x)=ax^n {/eq}, where {eq}a {/eq} and {eq}n {/eq} are values unique to the function. The power rule states that the derivative of {eq}f(x)=x^n {/eq} will be given by {eq}f'(x)=nx^{n-1} {/eq}. Another way to state this...
Quotient Rule Power Rule Negative Exponent Same Exponent Rules of Exponent In the algebraic expressionxa, wherexis raised to the powera,xis called abaseandais called anexponent. Here are the basic rules of exponents, where the basesxandyare nonzero real numbers and the exponentsaandbare integers...
As per this law, multiplying two different bases with the same power is equal to the product of the base with the power. For instance, anbn= (ab)n Law of power of a power As per this law, when the power raised to the another power of a base we multiply the exponents. It is rep...
Next is the exponent of 1 rule. This one's just as simple: Any number raised to the power of 1 will always remain the same. Now, to move on to something a bit more complicated: product rules. These are rules for multiplying terms with the same base and different exponents. For exam...
Zero power rule. ... Negative exponent rule. What are exponents examples? An exponent refersto the number of times a number is multiplied by itself. For example, 2 to the 3rd (written like this: 23) means: 2 x 2 x 2 = 8.
11andnnnnaaaa WhenthePowerisZeroRule:01a Anythingtothezeropoweris1.33303xxxx orallcancelforananswerof1.MultiplyingExponents nmmnaa Rule: 53333333515xxxxxxxx usingapreviousrule.Aneasierwaywouldbetomultiplythe3and5togetthenewexponentof15.UnlikeTermsarenotliketermsandcannotbecombined.3253xx Contrastthiswith...