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Applying Properties of Exponents

Applying Properties of Exponents. Multiplying. When exponents have the same base add the exponents and simplify. 5 x 5 7 x 7 8 x 8. Dividing. When the expressions are the same, subtract the exponents and simplify. 4 3 5 4 3 5. Power raised to another power.

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Applying Properties of Exponents

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  1. Applying Properties of Exponents

  2. Multiplying • When exponents have the same base add the exponents and simplify. • 5 x 5 • 7 x 7 • 8 x 8

  3. Dividing • When the expressions are the same, subtract the exponents and simplify. • 435 4 3 5

  4. Power raised to another power • To find the value of an exponential expression with an exponents, multiply the exponents. • (3 ) • (2 ) • (6 ) • When a product has an exponent, the exponent applies to each factor. • (9x )

  5. Quotients with exponents • When a quotient has an exponent, the exponent applies to each term. • (⅔) • (½) • (⅖)

  6. Understanding Square and Cube Roots • X is the square root of a nonnegative nimber n if x =n. For example, 7 is the square root of 49 because 7x7=49. It is also true that -7 is the square root of 49 because -7x-7=49. • Solve for x • X =169 x =100

  7. The principal square root is the positive number • What is the principal square root of 49, and 100 • Sometimes you may be ask to find the square root of a fraction. Take the square root of the numerator and then the denominator. • EX.

  8. Cube Roots • X is the cube root of a number n if x =n. The symbol for cube root is . • 4x4x4 is 64 so 64=4 • Find the cube root of each of the following • -125 216

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