(For each of these concepts, see the tutorial for examples.)

Product of two powers -- Assuming "x" is a real number, multiply two values with the same base by adding the exponents.

Power of a power -- Assuming "x" is a real number, the exponent of an exponent is the same as raising the base to the product of the two exponents.

Power of a product -- Assuming "x" and "y" are real numbers, raising the product of two values to a power is the same as raising each value to that power and multiplying the result.

(For each of these concepts, see the tutorial for examples.)

Power of a quotient -- Assuming "x" and "y" are real numbers, raising the quotient of two values to a power is the same as raising each value to that power and dividing the result.

Quotient of two powers --  Assume "x" is a real number and not zero. Dividing two values with the same base and two different exponents is the same as raising the base to the difference of the two exponents.

Try one of these resources to learn more about basic pre-algebra:

• About Exponents
• Properties of Exponents
• Rational Exponents

• About Real Numbers
• Properties of Real Numbers

• Adding and Subtracting Like Fractions
• Adding and Subtracting Un-Like Fractions
• Multiplying and Dividing Fractions

• Decimals to Fractions
• Fractions, Decimals, and Percents

• Radicals and Roots
• Working With Radicals