The Maxwell School

Syracuse University

Syracuse University

To simplify expressions involving fractional exponents, it is helpful to remember the following rule about exponents:

(X ^{a})^{b} = X ^{a*b}

For example:

(X ^{2})^{3} = X ^{2*3} = X ^{6}

When a fractional exponent appears on a variable on one side of an equation, you can often exploit this property to simplify the equation. For example, suppose you had the equation:

L ^{0.3} = 10

You could raise each side to the power 1/0.3:

(L ^{0.3})^{1/0.3} = 10^{1/0.3}

Applying the above property of exponents to simplify the left hand side:

(L ^{0.3})^{1/0.3} = L^{0.3*(1/0.3)} = L

Thus, the original equation can be rewritten:

L = 10^{1/0.3}

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URL: https://wilcoxen.maxwell.insightworks.com/pages/344.html

Peter J Wilcoxen, The Maxwell School, Syracuse University

Revised 08/17/2016

URL: https://wilcoxen.maxwell.insightworks.com/pages/344.html

Peter J Wilcoxen, The Maxwell School, Syracuse University

Revised 08/17/2016