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
Simplify and express the following in exponential form:
((52)3 × 54) ÷ 57
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.
`(4/5)^3 div (4/5)^2`
Simplify:
`(2/3)^6 div (2/3)^9`
Find the value of 1716 ÷ 1716.
`(13/14)^5 ÷ (_)^2 = (13/14)^3`
x0 × x0 = x0 ÷ x0 is true for all non-zero values of x.
By what number should (–4)5 be divided so that the quotient may be equal to (–4)3?
