Exponent Rules and Multiplying Monomials Multiply monomials. 2.Multiply numbers in scientific notation. 3.Simplify a monomial raised to a power.

Objective 1 Multiply monomials.

means three 2s. 2 4 means four 2s. Since there are a total of seven 2s multiplied, we can express the product as 2 7. Keep the base and add the exponents

Product Rule for Exponents If a is a real number and m and n are integers, then a m a n = a m+n.

When an equation in one variable is solved the answer is a point on a line. Multiply:

Multiplying Monomials 1. Multiply coefficients. 2. Add the exponents of the like bases. 3. Write any unlike variable bases unchanged in the product.

When an equation in one variable is solved the answer is a point on a line. Simplify:

Objective 2 Multiply numbers in scientific notation.

Monomials:Scientific notation:

When an equation in one variable is solved the answer is a point on a line. Multiply and write result in scientific notation:

Objective 3 Simplify a monomial raised to a power.

A Power Raised to a Power If a is a real number and m and n are integers, then (a m ) n = a mn.

Raising a Product to a Power If a and b are real numbers and n is an integer, then (ab) n = a n b n.

Simplifying a Monomial Raised to a Power 1. Evaluate the coefficient raised to that power. 2. Multiply each variable’s exponent by the power.

When an equation in one variable is solved the answer is a point on a line. Simplify:

Simplify:

Slide Copyright © 2011 Pearson Education, Inc. Simplify. a) b) c) d) 5.4

Slide Copyright © 2011 Pearson Education, Inc. Simplify. a) b) c) d) 5.4

Slide Copyright © 2011 Pearson Education, Inc. Simplify. a) b) c) d) 5.4

Slide Copyright © 2011 Pearson Education, Inc. Simplify. a) b) c) d) 5.4