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Chapter 1: Q17. (page 12)

Write the product using an exponent.

(5.6)(5.6)(5.6)

Short Answer

Expert verified

The product 5.65.65.6using an exponent is (5.6)3

Step by step solution

01

– Explanation of the exponent formula

ax鈫�a is the base and x is exponent.

The power is the result of repeated multiplication of the same factor.

The expressionsaxthis means that a has been used as a factor x times.

02

Write the product 3 · 3 · 3 · 3 in exponent. 

Example: Write the product 3鈥�路鈥�3鈥�路鈥�3鈥�路鈥�3鈥�in exponent.

Rule: ax鈫�a is called base and x is power.

For:3鈥�路鈥�3鈥�路鈥�3鈥�路鈥�3鈥�, the base a = 3 and multiplied by 4 times.

In repeated multiplication: 3鈥�路鈥�3鈥�路鈥�3鈥�路鈥�3鈥�in exponent form 34

03

Write the product 5.65.65.6 using an exponent.

Rule: ax鈫�a is called base and x is power.

For:5.65.65.6, here base is 5.6 and multiplied 3 times.

In exponent form: 5.65.65.6鈥�鈥�=鈥�鈥�(5.6)3

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Evaluate the experssion when x=6andy=12

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