BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.2, Problem 59E
To determine

To simplify: the given expression.

Expert Solution

Answer to Problem 59E

  64x63=2x

Explanation of Solution

Given information:

Given expression

  64x63

Calculation:

Consider the given expression.

  64x63

Use the law of exponents amn=amn , (ab)m=ambm and (an)m=amn

So, the expression can be simplified as

  64x63=(64x6)13=[(64x6)12]13=(64x6)16=(64)16(x6)16=(26)16(x6)16=266x66=2x

Hence, 64x63=2x .

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