Search results
Results From The WOW.Com Content Network
The negative exponents describe how many times we have to divide the base number. Visit BYJU’S to learn the definition, rules, procedure for solving the negative exponents with examples.
This quick lesson explains the negative exponent rule in 3 easy steps and includes a visual animation to help you better understand the negative exponent rule.
A negative exponent means how many times to divide by the number. Example: 8-1 = 1 ÷ 8 = 1/8 = 0.125. Or many divides: Example: 5-3 = 1 ÷ 5 ÷ 5 ÷ 5 = 0.008. But that can be done an easier way: 5-3 could also be calculated like: 1 ÷ (5 × 5 × 5) = 1/53 = 1/125 = 0.008. That last example showed an easier way to handle negative exponents:
A negative exponent makes the base to be its reciprocal and the power positive. The important rule to deal with negative exponents is a^-n = 1/a^n.
Using the negative exponent rule. \(x^{−2 }= \dfrac{1 }{x^2}\). Review the following examples to help understand the process of simplifying using the quotient rule of exponents and the negative exponent rule.
The base [latex]2[/latex] has a negative exponent of [latex]-4[/latex]. This can be fixed by moving it to the denominator and switching the sign of the exponent to positive using the negative rule of exponent.
Negative exponents. A negative exponent is equal to the reciprocal of the base of the negative exponent raised to the positive power. This is expressed as. where b is the base, and n is the power.
Simplify the expression \[\dfrac{x^{-3}y^2}{3z^{-4}} \nonumber \]so that the resulting equivalent expression contains no negative exponents. Answer \(\dfrac{y^2z^4}{3x^3}\)
The negative exponent rule states that a number with a negative exponent should be put in the denominator. For example, x^{-2}=\cfrac{x^{-2}}{1}=\cfrac{1}{x^{2}}
Negative Exponents. We can use the idea of reciprocals to find a meaning for negative exponents. Consider the product of \ (x^3\) and \ (x^ {-3}\). Assume \ (x \not = 0\). \ [x^3 \cdot x^ {-3} = x^ {3 + (-3)} = x^0 = 1\] Thus, since the product of \ (x^3\) and \ (x^ {-3}\) is \ (1\), \ (x^3\) and \ (x^ {-3}\) must be reciprocals.