ooo TMobile LTE 703 PM coursesapexlearningcom onal Exponents

ooo T-Mobile LTE 7:03 PM courses.apexlearning.com onal Exponents Part 2 Question 6 of 10 Multiple Choice: Please select the best answer and click submit. Which choice is equivalent to the expression below? 59.969 O A 59.596/10. 5/100 8 59 5910+66/100 O C. 59+9/10 /106/1000 O 59. 59/10. 56/100.59/1000 9.910.s6/100.9100 Page2 of 2

Solution

Answer:

Consider 5^9.969

Since we can write 9.969= 9 + 9/10 + 6/100 + 9/1000

From the above results we can write 5^9.969= 5^{9 + 9/10 + 6/100 + 9/1000}

and use the formula: 5^a+b+c+d =5^a . 5^b. 5^c . 5^d

So that 5^9.969= 5^{9 + 9/10 + 6/100 + 9/1000} = 5⁹ . 5^9/10. 5^6/100 . 5^9/1000

Thus, we have 5^9.969 = 5⁹ . 5^9/10. 5^6/100 . 5^9/1000