7-3 Rational Exponents

Write the expressions in radical form or exponential form:

Write in exponential form and evaluate. Check with a calculator.

Write in radical form and evaluate. Check with a calculator.

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Not all exponents are integers. Sometimes they are rational. You are familiar with square roots. These are actually bases with rational exponent 1/2.

Simplify. (Hint: First split the exponent using Power of a Power.)

Follow the directions given above to solve the exponential equations.

To solve this, you'll need to raise both sides to the same power to isolate the variable.

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To solve an exponential equation (when variables are in the exponents):-Write both sides as powers of the same base-Set exponents equal using the Power Property of Equality:

BIBLICAL PERSPECTIVE: This is an excellent example of how polynomials represent the properties of creation and how man has used equations to steward the earth efficiently and safely. How has this particular equation benefitted you personally in recent years?

Aleks Ex: Write x2/3 in radical form.