Simplify the following by converting into exponential form:72 × 55 × 45 Clue: 
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Answered by
4
Solution :
2 | 72
______
2 | 36
______
2 | 18
______
3 | 9
______
****3
5 | 55
_____
**** 11
3 | 45
_______
3 | 15
_______
****5
Given 72 × 55 × 45
= 2³ × 3² × 5¹ × 11¹ × 3² × 5¹
*********************************
We know the Exponential Law :
a^m × a^n = a^m+n
*********************************
= 2² × 5² × 2 × 3⁴ × 11
= ( 2 × 5 )² × 22 × 3⁴
= 100 × 22 × 81
= 178200
•••••
2 | 72
______
2 | 36
______
2 | 18
______
3 | 9
______
****3
5 | 55
_____
**** 11
3 | 45
_______
3 | 15
_______
****5
Given 72 × 55 × 45
= 2³ × 3² × 5¹ × 11¹ × 3² × 5¹
*********************************
We know the Exponential Law :
a^m × a^n = a^m+n
*********************************
= 2² × 5² × 2 × 3⁴ × 11
= ( 2 × 5 )² × 22 × 3⁴
= 100 × 22 × 81
= 178200
•••••
Answered by
4
hope this helps..........
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