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
Identify the greater number, wherever possible, in the following?
43 or 34
Identify the greater number, wherever possible, in the following?
1002 or 2100
Express the following as product of powers of its prime factor:
648
Simplify:
32 × 104
Simplify:
(−4)3
Compare the following numbers:
2.7 × 1012; 1.5 × 108
Evaluate:
`(3^-1xx9^-1)÷3^-2`
Find the value of: 83
Evaluate: 23 x 42
Find the value of 210.
