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Example 2 Evaluate an expression in two variables The total cost of seeing a movie at a theater can be represented by the expression where a is the cost (in dollars) of admission and r is the cost (in dollars) of refreshments. Suppose you pay $7. 50 for admission and $7. 25 for refreshments. Find the total cost. MOVIES ra + SOLUTION Total cost ra + = Write expression. 7. 25 7.50 + = Substitute 7. 50 for a and 7. 25 for r. 14.75 = Add. ANSWER The total cost is $14. 75.

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Read and write powers Example 3 Write the power in words and as a product. PowerWordsProduct a. 7171 seven to the first power 7 b. 5252 five to the second power, or five squared 55 2 1 3 c. one half to the third power, or one half cubed 2 1 2 1 2 1 d. z5z5 z to the fifth power zz z zz

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Guided Practice 5.WHAT IF? In Example 2, suppose you go back to the theater with a friend to see an afternoon movie. You pay for both admissions. Your total cost (in dollars) can be represented by the expression 2a. If each admission costs $4. 75, what is your total cost? ANSWER $9. 50 for Examples 2 and 3

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Guided Practice for Examples 2 and 3 6. 9595 Write the power in words and as a product. 7. 2828 ANSWER nine to the fifth power, 99999 ANSWER two to the eighth power, 22222222

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Guided Practice for Examples 2 and 3 Write the power in words and as a product. 8. n4n4 ANSWER n to the fourth power, nn n n

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