Advertisements
Advertisements
प्रश्न
Simplify:
`(3/5)^4 (8/5)^-12 (32/5)^6`
Advertisements
उत्तर
`(3/5)^4 (8/5)^-12 (32/5)^6 = 3^4/5^4 xx (5/2^3)^12 xx (2^5/5)^6` ...`(∵ a^-1 = 1/a)`
= `3^4/5^4 xx 5^12/2^36 xx 2^30/5^6` ...[∵ (am)n = amn]
= `(3^4 xx 5^(12 - 4 - 6))/(2^(36 - 30))` ...`[∵ a^m/a^n = a^(m - n)]`
= `3^4/2^6 xx 5^2`
= `(81 xx 25)/64`
= `2025/64`
APPEARS IN
संबंधित प्रश्न
Simplify the following
`3(a^4b^3)^10xx5(a^2b^2)^3`
Simplify the following
`((4xx10^7)(6xx10^-5))/(8xx10^4)`
Solve the following equation for x:
`4^(2x)=1/32`
If `a=xy^(p-1), b=xy^(q-1)` and `c=xy^(r-1),` prove that `a^(q-r)b^(r-p)c^(p-q)=1`
Simplify:
`((25)^(3/2)xx(243)^(3/5))/((16)^(5/4)xx(8)^(4/3))`
Find the value of x in the following:
`(3/5)^x(5/3)^(2x)=125/27`
Find the value of x in the following:
`(13)^(sqrtx)=4^4-3^4-6`
Which one of the following is not equal to \[\left( \sqrt[3]{8} \right)^{- 1/2} ?\]
If o <y <x, which statement must be true?
\[\frac{5^{n + 2} - 6 \times 5^{n + 1}}{13 \times 5^n - 2 \times 5^{n + 1}}\] is equal to
