Advertisements
Advertisements
Question
Find x.
`((-6)/7)^(x - 7) = 1`
Advertisements
Solution
We have, `((-6)/7)^(x - 7) = 1`
Using law of exponents,
x0 = 1 ...[∵ a is non-zero integer]
Then, `((-6)/7)^(x - 7) = 1`
It is possible only, if x = 7
So, `((-6)/7)^(7 - 7) = 1`
⇒ `((-6)/7)^0 = 1` ...[∵ a0 = 1]
Hence, x = 7
APPEARS IN
RELATED QUESTIONS
Simplify :
(– 4)5 × (– 4)-10
Simplify and write the answer in the exponential form.
`(- 3)^4 xx (5/3)^4`
Find the value [4–1 + 3–1 + 6–2]–1 = ______.
[2–1 + 3–1 + 4–1]0 = ______.
35 ÷ 3–6 can be simplified as ______.
On dividing 85 by ______ we get 8.
In a repeater machine with 0 as an exponent, the base machine is applied 0 times. What do you think the value of 60 is?
Supply the missing information for diagram.
The diameter of the Sun is 1.4 × 109 m and the diameter of the Earth is 1.2756 × 107 m. Compare their diameters by division.
Find x.
2x + 2x + 2x = 192
