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:
b × b × b × b
Express the following number using exponential notation:
512
Evaluate:
`(3^-1÷4^-1)^2`
Evaluate:
`(5^2-3^2)xx(2/3)^-3`
Find the value of: 6²
Find the value of `(- 1/2)^4`.
The expanded form of p3 q2 is ________________
When base is 12 and exponent is 17, its exponential form is _____________
Identify the greater number in the following.
63 or 36
Identify the greater number in the following:
29 or 92
