Advertisements
Advertisements
प्रश्न
`((-1)/4)^3 xx ((-1)/4)^- = ((-1)/4)^11`
Advertisements
उत्तर
`((-1)/4)^3 xx ((-1)/4)^bb(underline(8)) = ((-1)/4)^11`
Explanation:
Let `((-1)/4)^3 xx ((-1)/4)^x = ((-1)/4)^11`
⇒ `((-1)/4)^x = ((-1)/4)^11/((-1)/4)^3`
⇒ `((-1)/4)^x = ((-1)/4)^(11 - 3)` ...[∵ am ÷ an = am – n, m > n]
⇒ `((-1)/4)^x = ((-1)/4)^8`
Since, base are equal.
So, by equating the powers, we get
x = 8
∴ `((-1)/4)^3 xx ((-1)/4)^8 = ((-1)/4)^11`
APPEARS IN
संबंधित प्रश्न
Using laws of exponents, simplify and write the answer in exponential form:
8t ÷ 82
Simplify and express the following in exponential form:
254 ÷ 53
Simplify and express the following in exponential form:
`3^7/(3^4 xx 3^3)`
Simplify and express the following in exponential form:
`(2^8 xxa^5)/(4^3 xx a^3)`
Find the value.
(−7)12 ÷ (−7)12
Find the value.
75 ÷ 73
Find the value of 1716 ÷ 1716.
Solve: (−2)5 ÷ (−2)3
`(5/8)^9 ÷ (5/8)^4 = (5/8)^4`
Find the value of:
77 ÷ 77
