Multiplication Property of Exponents, Rational Exponents and Scientific Notation

Multiplication Property of Exponents

(a 3 )(a 4 ) This means Or a 7 A shortcut for this--- When you are multiplying and the bases are the same ADD THE EXPONENTS

Examples 4x 3x

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Rational Exponents

Examples

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Rational Exponents

Scientific Notation A number is in scientific notation when There is a number (I’ll call “n”) that is bigger than or equal to one, but less than ten. This number “n” is multiplied by a power of ten. A power of ten is 10 to the something power. So it will look something like this: (just remember digit dot) n n. x 10 -3

Examples Which are in scientific notation? 3.5 x x x x x 10 0 Yes No Yes

Examples Write in scientific notation 13,030, million 283 hundred thousandths x x x x 10 -3

Examples Write in standard form (as a regular number): 6.2 x x x x (7 x 10 6 ) ,345,000, ,000,000

Multiplying Scientific Notation