# The missing power value in the expression, 5 1 3 ⋅ 5 = 5 .

### Precalculus: Mathematics for Calcu...

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

### Precalculus: Mathematics for Calcu...

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

#### Solutions

Chapter 1.2, Problem 6E
To determine

## To fill: The missing power value in the expression, 513⋅5=5.

Expert Solution

The missing value for the expression is 23_ and the complete expression is 513523=5_.

### Explanation of Solution

Formula used:

Product of powers:

“The product of two powers with the same base a and different exponents m and n is given by, aman=am+n”.

That is, while multiplying two powers with same base, the exponents are added and the base will remain the same.

Calculation:

Suppose that, the missing power is x.

Now, use the above formula and find the missing power as shown below.

5135x=55x=55135x=51135x=523

Therefore, the missing value for the expression is 23_ and the complete expression is 513523=5_.

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