Step-by-step explanation:
*cough cough*
(9)^4 × (27)^3 × (81)^2 / (3)^24 = 3.
Explanation:
- All the numbers in the numerator i.e. 9, 27, 81 are multiples of 3.
- 9 = 3 × 3 = 3², 27 = 3 × 3 × 3 = 3³, 81 = 3 × 3 × 3 × 3 =
.
= (3^2)^4, 27³ = (3^3)^3, 81^2 = (3^4)^2.- According to the power rule, (a^x)^y = a^xy.
- So the given numbers can be written as follows
= 3^8, 27³ = 3^9 and 81² = 3^8. - According to the product rule, (a^x) × (a^y) = a^xy.
- So the numerator can be written as
× 27³ × 81² = (3^8) × (3^9) × (3^8) = 3^(8+9+8) = 3^25. - So the fraction becomes 3^25 / 3^24 = 3 × 3^24 / 3^24 = 3.
Answer: 12
Step-by-step explanation:
0.75= 7.5e-6
Hope this helps !