{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

mac1140_lecture6_1

# mac1140_lecture6_1 - L6 1.7 Radical Expressions Example...

This preview shows pages 1–5. Sign up to view the full content.

46 L6 §1.7 Radical Expressions Example . Compare: 2 (8 ) = 2 8 = Caution! It is not true that 2 x x = or 2 x x ; however, there is a cancellation rule that works for radicals and exponents: n is even n n aa = n is odd n n = Thus , 2 xx = (compare with () 2 = ) and 3 3 = (compare with ( ) 3 3 = ). Example . Simplify each expression: a) 4 4 3 b ) ( ) 4 4 3 c) 6 6 2 d ) 5 5 4 e) 3 3 7 f ) 5 5 (3 ) z

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
47 f) 4 4 () x y + g) 4 (2 ) x + h) 2 169 26 1 x x ++ When working with radicals, we will assume that all variables in radicands represent nonnegative numbers. Rules for Exponents: Rules for Radicals: 1 n ab = n ab = 1 n a b ⎛⎞ = ⎜⎟ ⎝⎠ n a b = 0 b 1 1 m n a = m n a = km kn a = kn km a =
48 Example . Simplify each expression. a) 10 40 b) 2 3 64 c) 3 4 d) 12 9 16 e) Suppose the cost to produce x units is given by 2 3 ( ) .05 75 1200 Cx x x =− + + Find the cost to produce 729 units.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
49 Simplifying Radicals: 1. Simplify the radicand where it is appropriate. 2. Take out of the radical all possible factors so that the factors left in the radicand have smaller exponents than the index of the radical*.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 8

mac1140_lecture6_1 - L6 1.7 Radical Expressions Example...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online