Explanation Given Information: Given expression: ( y □ ) □ ⋅ ( y □ ) □ = y 30 . Explanations: According to the given question, the expression, ( y □ ) □ ⋅ ( y □ ) □ = y 30 . We know that, exponential power of number means multiplying the number by itself the number of times the power is given. Also, when two exponents have same bases then in the case of division, the exponents simply get subtracted and while expanding bracket, we multiply the exponent. So, we have, ⇒ ( y □ ) □ ⋅ ( y □ ) □ = y 30 [ Using ( a b ) c = a b . c ] = y □ × □ . y □ × □ [ Using a b . a c = a b + c ] = y □ × □ + □ × □ We can write it in the following manner, ⇒ y 30 = ( y 5 ) 3 ⋅ ( y 5 ) 3 [ Using ( a b ) c = a b . c ] = y 5 × 3 + 5 × 3 [ Using a b . a c = a b + c ] = y 30 Thus, we get value for boxes as { ( 5 , 3 ) , ( 5 , 3 ) } . ⇒ y 30 = ( y 3 ) 5 ⋅ ( y 5 ) 3 [ Using ( a b ) c = a b . c ] = y 3 × 5 + 5 × 3 [ Using a b . a c = a b + c ] = y 30 Thus, we get value for boxes as { ( 3 , 5 ) , ( 5 , 3 ) } . ⇒ y 30 = ( y 1 ) 29 ⋅ ( y 1 ) 1 [ Using ( a b ) c = a b

Key Concept Activity Lab Workbook For Path To College Mathematics

1st Edition

ISBN: 9780134618548

Author: Elayn Martin-Gay

Publisher: PEARSON

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Chapter 4.1, Problem 130ES

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To fill in the box, (y□)□⋅(y□)□=y30 .

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Chapter 4.1, Problem 129ES

Chapter 4.1, Problem 131ES

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Key Concept Activity Lab Workbook For Path To College Mathematics

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To fill in the box, ( y □ ) □ ⋅ ( y □ ) □ = y 30 .

Solution Summary: The author explains that exponential power of number means multiplying the number by itself, and in the case of division, the exponents simply get subtracted.

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To fill in the box, (y□)□⋅(y□)□=y30 .

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