Question 13 MarksShow that :$\sqrt{x^{p-q}} \times \sqrt{x^{q-r}} \times \sqrt{x^{r-p}}=1$AnswerselfView full question & answer→
Question 23 MarksShow that :$\frac{x^{m+n} \times x^{n+l} \times x^{l+m}}{\left(x^m \times x^n \times x^l\right)^2}=1$.Answer$\left[\right.$ Hint : L.H.S $\left.=\frac{x^{m+n+n+l+l+m}}{x^{2 m} \times x^{2 n} \times x^{2 l}}=\frac{x^{2 m+2 n+2 l}}{x^{2 m+2 n+2 l}}=x^{2 m+2 n+2 l-2 m-2 n-2 l}=x^0\right]$View full question & answer→
Question 33 MarksSimplify : $\left(32 a^{10} b^{-5}\right)^{1 / 5}$Answer$\frac{2 a^2}{b}$View full question & answer→
Question 43 MarksSimplify : $\left(-3 a^{3 / 4} b^{-1 / 4}\right)^4 $Answer$\frac{81 a^3}{b}$View full question & answer→
Question 53 MarksSimplify : $\left(6 a b^2 c^{-3}\right)^{-1}$Answer$\frac{c^3}{6 a b^2}$View full question & answer→
Question 63 MarksSimplify :$\left(3 x^{-3} y^3\right)^{-2}$Answer$\frac{x^6}{9 y^6}$View full question & answer→
Question 73 MarksSimplify :$\sqrt[3]{x^{18} y^{-12} z^3}$Answer$\frac{x^6 z}{y^4}$View full question & answer→
Question 83 MarksSimplify :$\left(81 a^4 b^8 c^{-4}\right)^{1 / 4}$Answer$\frac{3 a b^2}{c}$View full question & answer→
Question 93 MarksSimplify :$\left(64 m^{-6} n^3\right)^{2 / 3}$Answer$\frac{16 n^2}{m^4}$View full question & answer→
Question 103 MarksSimplify :$\left(27 x^{-3}\right)^{1 / 3}$Answer$\frac{3}{x}$View full question & answer→
Question 123 MarksSimplify :$\left(5 m^4 n^{-3}\right)^3$Answer$\frac{125 m^{12}}{n^9}$View full question & answer→
Question 133 MarksSimplify :$\left(3 x^3 y^{-3}\right)^2$Answer$\frac{9 x^6}{y^6}$View full question & answer→
Question 143 MarksSimplify :$\left(x^2 y^{-3}\right)^{-2}$Answer$\frac{y^6}{x^4}$View full question & answer→
Question 153 MarksSimplify :$\left(m^2 n^{-3}\right)^4$Answer$\frac{m^8}{n^{12}}$View full question & answer→
Question 193 MarksSimplify :$7 x^{14} \div 21 x^{-10}$Answer$\frac{x^{24}}{3}$View full question & answer→
Question 203 MarksSimplify :$a^{13} b^7 \div a^5 b^{-3}$Answer$a^8 b^{10}$View full question & answer→
Question 213 MarksSimplify :$7 a^{12} \div 56 a^{15}$Answer$\frac{1}{8 a^3}$View full question & answer→
Question 223 MarksSimplify :$\frac{a^7 b^5 c^4}{a^{-2} b^3 c^6}$Answer$\frac{a^9 b^2}{c^2}$View full question & answer→
Question 273 MarksSimplify :$x^{-2} y^5 \times x^0 y^{-7}$Answer$\frac{1}{x^2 y^2}$View full question & answer→
Question 283 MarksSimplify :$x^7 y^{-5} \times x^{-5} y^3$Answer$\frac{x^2}{y^2}$View full question & answer→
Question 293 MarksSimplify :$p^3 q^4 \times p^5 q^{-5}$Answer$\frac{p^8}{q}$View full question & answer→
Question 313 MarksSimplify :$x^6 y^4 z^{-2} \times x^{-3} y^{-5} z^{-1} \times x^2 z^4$Answer$\frac{x^5 z}{y}$View full question & answer→
Question 363 MarksSimplify :$\left[\left\{2 p^{-1} q^2 r\right\}^3\right]^{-2}$Answer$\frac{p^6}{64 q^{12} r^6}$View full question & answer→
Question 373 MarksEvaluate :$\sqrt{\frac{y^3}{x}} \times \sqrt{\frac{y}{x}}$Answer$\frac{y^2}{x}$View full question & answer→
Question 383 MarksEvaluate :$(81)^{-1} \times 3^{-5} \times 3^9 \times(64)^{5 / 6} \times(\sqrt[3]{3})^6$Answer288View full question & answer→
Question 393 MarksEvaluate :$(64)^{2 / 3}+\sqrt[3]{125}+3^0+\frac{1}{2^{-5}}+(27)^{-2 / 3} \times\left(\frac{25}{9}\right)^{-1 / 2}$Answer$54 \frac{1}{15}$View full question & answer→
Question 403 MarksEvaluate :$\left(\frac{81}{16}\right)^{-1 / 4}$Answer$\frac{2}{3}$View full question & answer→
Question 413 MarksEvaluate :$\left(\frac{16}{625}\right)^{1 / 4}$Answer$\frac{2}{5}$View full question & answer→
Question 423 MarksSimplify :$\frac{a^{7+2 n} \cdot\left(a^2\right)^{3 n+2}}{\left(a^4\right)^{2 n+3}}$.Answer$\frac{1}{a}$View full question & answer→
Question 433 MarksSimplify :$\frac{x^{2 n+3} \cdot x^{(2 n+1)(n+2)}}{\left(x^3\right)^{2 n+1} \cdot x^{n(2 n+1)}}$Answer$x^2$View full question & answer→
Question 443 MarksSimplify :$(a b)^{y-z} \cdot(b c)^{z-x} \cdot(c a)^{x-y}$.Answer$a^{x-z} \cdot b^{y-x} \cdot c^{z-y}$View full question & answer→
Question 453 MarksEvaluate :$\frac{1}{1+x^{a-b}}+\frac{1}{1+x^{b-a}}$Answer1View full question & answer→
Question 463 MarksEvaluate :$\left(\frac{x^a}{x^b}\right)^{\frac{1}{a b}} \times\left(\frac{x^b}{x^c}\right)^{\frac{1}{b c}} \times\left(\frac{x^c}{x^a}\right)^{\frac{1}{c a}}$Answer1View full question & answer→