Advertisements
Advertisements
प्रश्न
Evaluate :
`[ 2^n xx 6^(m + 1 ) xx 10^( m - n ) xx 15^(m + n - 2)]/[4^m xx 3^(2m + n) xx 25^(m - 1)]`
Advertisements
उत्तर
`[ 2^n xx 6^(m + 1 ) xx 10^( m - n ) xx 15^(m + n - 2)]/[4^m xx 3^(2m + n) xx 25^(m - 1)]`
= `[2^n xx 6^m xx 6 xx 10^m xx 10^(-n) xx 15^m xx 15^n xx 15^(-2 )]/[4^m xx (3^2)^m xx 3^n xx 25^m xx 25^-1 ]`
= `[( 2 xx 1/10 xx 15)^n xx ( 6 xx 10 xx 15 )^m xx 6 xx 1/15^2 ]/[ 3^n xx ( 4 xx 3^2 xx 25 )^m xx 1/25 ]`
= `[ 3^n xx 900^m xx 6/225]/[ 3^n xx 900^m xx 1/25]`
= `6/225 xx 25/1`
= `6/9`
= `2/3`
APPEARS IN
संबंधित प्रश्न
Prove that: `a^-1/(a^-1+b^-1) + a^-1/(a^-1 - b^-1) = (2b^2)/(b^2 - a^2 )`
Evaluate : `((x^q)/(x^r))^(1/(qr)) xx ((x^r)/(x^p))^(1/(rp)) xx ((x^p)/(x^q))^(1/(pq))`
Simplify : `"x" − "y" − {"x" − "y" − ("x" + "y") −overline("x"-"y")}`
Simplify : `"p"^2"x"-2{"px"-3"x"("x"^2-overline(3"a"-"x"^2))}`
Simplify : `"a"-["a"-overline("b+a") - {"a"-("a"- overline("b"-"a"))}]`
Simplify: `3"a"xx[8"b" ÷ 4-6{"a"-(5"a"-overline(3"b"-2"a"))} ]`
Write the following in the simplest form:
(b-2 - a-2) ÷ (b-1 - a-1)
Simplify the following:
`root(3)(x^4y^2) ÷ root(6)(x^5y^-5)`
Simplify the following:
`{("a"^"m")^("m" - 1/"m")}^(1/("m" + 1)`
Simplify the following:
`(2^"m" xx 3 - 2^"m")/(2^("m" + 4) - 2^("m" + 1)`
