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Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 4 Properties of Exponents Continued For all real numbers a and b and all integers m and n,

Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 5 Properties of Exponents Continued For all real numbers a and b and all integers m and n,

Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 6 Scientific Notation Scientific notation is a convenient way to write very large or very small numbers. integer a.) -3.683 x 10 7 = -36830000. 7 decimal places b.) 0.495 x 10 -5 = 0.00000495 5 decimal places Example:

Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 7 Definition of nth Root A square root of a number is one of its two equal factors. A cube root of a number is one of its three equal factors. nth root of a

Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 8 Definition: Principal Root The principal nth root of a is the nth root that has the same sign as a. radical symbol radicand index 3 is the principal 4th root of 81. 5 is the principal cube root of 125.

Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 10 Properties of Radicals Continued For all real numbers a and b and all positive integers m and n, 6. If n is even, If n is odd,