Question

Simplify the following by converting into exponential form: $\frac{81}{18} * \frac {(-1^{5})} {(-1^{9})} *\frac{2}{3}$

Answer 1

Solution :

3 | 81
_______
3 | 27
_______
3 | 9
_______
*****3

3 | 18
______
3 | 6
______
*****2

Now ,

81 = 3⁴ ,

18 = 3² × 2¹

Given ( 81/18 ) × [(-1^5)/(-1^9)] ×( 2/3 )

= [(3⁴)/(3²×2¹)] × 1 × 2/3

= ( 3⁴ × 2¹ )/( 3² × 2¹ × 3¹ )

= (3⁴ × 2¹ )/( 3³ × 2¹ )

= 3^4-1

= 3³

= 27

••••••

Answer 2

hope this helps......