Advertisements
Advertisements
Question
Express `27/64` and `(-27)/64` as powers of a rational number.
Sum
Advertisements
Solution
∵ 27 = 3 × 3 × 3 = 33, (–27) = (–3) × (–3) × (–3) = (–3)3
And 64 = 4 × 4 × 4 = 43
∴ `27/64 = 3^3/4^3 = (3/4)^3` and `(-27)/64 = (-3)^3/(4)^2 = ((-3)/4)^3`
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Express the following in exponential form:
2 × 2 × a × a
Express the following number using exponential notation:
343
Express the following as product of powers of its prime factor:
648
Express the following as product of powers of its prime factor:
3,600
Find the value of: 55
Find the value of: 75
Evaluate: 22 x 33
Evaluate: `(3/4)^4`
Express the following number as a product of powers of prime factor: 432
Express the following as a product of powers of their prime factors:
2025
