Section 8.3 Dividing Monomials and Raising a Power to a Power

Section 8.3 Dividing Monomials and Raising a Power to a Power

Things to Remember

Dividing Monomials

In dividing monomials, there are two things that you must keep in mind. First, you divide your coefficients, which are the numbers that are written before the variables. As for the exponents (the powers), you would subtract them.

ex.   bases stay the same. subtract the exponents (9 – 3 = 6)

1000000 (count the number of zeros) There are six zeros, which means that your final answer is  .

Raising a power to a power

When you raise a power to a power, you are multiplying the two exponents together. For instance, a variable raised to the 5th power and then to the 2nd power would result in that variable raised to the 10th power. However, when you are raising a coefficient to an exponent, you would multiply the coefficient by the number of times represented as the exponent. So, y raised to the 7th power then raised to the 3rd power is the same as saying 7 *7 * 7 .

Mixed Review of Adding, Subtracting, Multiplying, and Dividing Monomials

Example of a monomial

coefficient: -14 variable: m exponent: 9

MONOMIALS RULE!

Adding/Subtracting

combine like terms when the variable and exponents are the same.

Addition answer: SUM

Subtraction answer: DIFFERENCE

Multiplying

multiply coefficients, add exponents for same variable.

Multiplication answer:  PRODUCT

Dividing

divide coefficients and subtract exponents for same variable.

Division answer: QUOTIENT

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1. =

3. =

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