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Simplifying Exponential Expressions Involving Fraction Exponent

Simplify the expression $\frac{10x^{\frac{3}{4}}}{4x^{\frac{5}{4}}.x^{\frac{7}{4}}}$ having fraction exponent.

$\frac{5x^{\frac{-9}{4}}}{2}$

$\frac{5x^{\frac{15}{4}}}{2}$

$\frac{5x^{\frac{9}{4}}}{2}$

Simplify the expression $\frac{18x^{\frac{5}{6}}}{30x^{\frac{11}{6}}.x^{\frac{-7}{6}}}$ having fraction exponent.

$\frac{3x^{\frac{1}{6}}}{5}$

$\frac{3x^{\frac{-1}{6}}}{5}$

$\frac{3x^{\frac{2}{3}}}{5}$

Simplify the expressionv $\frac{18x^{\frac{3}{5}}.x^{\frac{4}{5}}}{10x^{\frac{6}{5}}}$ having fraction exponent.

$\frac{9x^{\frac{-1}{5}}}{5}$

$\frac{9x^{\frac{1}{5}}}{5}$

$\frac{9x^{\frac{13}{5}}}{5}$

Simplify the expression $\frac{x^{\frac{8}{11}}.x^{\frac{9}{11}}}{x^{\frac{-4}{11}}}$ having fraction exponent.

$x^{\frac{13}{11}}$

$x^{\frac{21}{11}}$

$x^{\frac{-21}{11}}$

Simplify the expression $\frac{20x^{\frac{-6}{7}}}{30x^{\frac{2}{7}}.x^{\frac{8}{7}}}$ having fraction exponent.

$\frac{2x^{\frac{4}{7}}}{3}$

$\frac{2x^{\frac{-16}{7}}}{3}$

$\frac{2x^{\frac{16}{7}}}{3}$

Simplify the expression $\frac{x^{\frac{9}{2}}}{x^{\frac{-4}{2}}.x^{\frac{-11}{2}}}$ having fraction exponent.

$x^{24}$

$x^{12}$

$x^{-12}$

Simplify the expression $\frac{21x^{\frac{-6}{7}}.x^{\frac{5}{7}}}{49x^{\frac{2}{7}}}$ having fraction exponent.

$\frac{3x^{\frac{-3}{7}}}{7}$

$\frac{3x^{\frac{1}{7}}}{7}$

$\frac{3x^{\frac{3}{7}}}{7}$

Simplify the expression $\frac{x^{\frac{2}{10}}.x^{\frac{7}{10}}}{x^{\frac{-11}{10}}}$ having fraction exponent.

$x$

$x^2$

$x^{-2}$

Simplify the expression $\frac{x^{\frac{3}{8}}}{x^{\frac{5}{8}}.x^{\frac{3}{8}}}$ having fraction exponent.

$x^{\frac{11}{8}}$

$x^{\frac{-5}{8}}$

$x^{\frac{5}{8}}$

Simplify the expression $\frac{39x^{\frac{15}{12}}.x^{\frac{20}{12}}}{13x^{\frac{11}{12}}}$ having fraction exponent.

$3x^{-2}$

$3x^2$

$3x$

Questions

Time

Score

Simplifying Exponential Expressions Involving Fraction Exponent

Simplify the expression ﻿10x344x54.x74\frac{10x^{\frac{3}{4}}}{4x^{\frac{5}{4}}.x^{\frac{7}{4}}}4x45​.x47​10x43​​﻿ having fraction exponent.

﻿5x−942\frac{5x^{\frac{-9}{4}}}{2}25x4−9​​﻿

﻿5x1542\frac{5x^{\frac{15}{4}}}{2}25x415​​﻿

﻿5x942\frac{5x^{\frac{9}{4}}}{2}25x49​​﻿

Simplify the expression ﻿18x5630x116.x−76\frac{18x^{\frac{5}{6}}}{30x^{\frac{11}{6}}.x^{\frac{-7}{6}}}30x611​.x6−7​18x65​​﻿ having fraction exponent.

﻿3x165\frac{3x^{\frac{1}{6}}}{5}53x61​​﻿

﻿3x−165\frac{3x^{\frac{-1}{6}}}{5}53x6−1​​﻿

﻿3x235\frac{3x^{\frac{2}{3}}}{5}53x32​​﻿

Simplify the expressionv﻿18x35.x4510x65\frac{18x^{\frac{3}{5}}.x^{\frac{4}{5}}}{10x^{\frac{6}{5}}}10x56​18x53​.x54​​﻿ having fraction exponent.

﻿9x−155\frac{9x^{\frac{-1}{5}}}{5}59x5−1​​﻿

﻿9x155\frac{9x^{\frac{1}{5}}}{5}59x51​​﻿

﻿9x1355\frac{9x^{\frac{13}{5}}}{5}59x513​​﻿

Simplify the expression ﻿x811.x911x−411\frac{x^{\frac{8}{11}}.x^{\frac{9}{11}}}{x^{\frac{-4}{11}}}x11−4​x118​.x119​​﻿ having fraction exponent.

﻿x1311x^{\frac{13}{11}}x1113​﻿

﻿x2111x^{\frac{21}{11}}x1121​﻿

﻿x−2111x^{\frac{-21}{11}}x11−21​﻿

Simplify the expression ﻿20x−6730x27.x87\frac{20x^{\frac{-6}{7}}}{30x^{\frac{2}{7}}.x^{\frac{8}{7}}}30x72​.x78​20x7−6​​﻿ having fraction exponent.

﻿2x473\frac{2x^{\frac{4}{7}}}{3}32x74​​﻿

﻿2x−1673\frac{2x^{\frac{-16}{7}}}{3}32x7−16​​﻿

﻿2x1673\frac{2x^{\frac{16}{7}}}{3}32x716​​﻿

Simplify the expression ﻿x92x−42.x−112\frac{x^{\frac{9}{2}}}{x^{\frac{-4}{2}}.x^{\frac{-11}{2}}}x2−4​.x2−11​x29​​﻿ having fraction exponent.

﻿x24x^{24}x24﻿

﻿x12x^{12}x12﻿

﻿x−12x^{-12}x−12﻿

Simplify the expression ﻿21x−67.x5749x27\frac{21x^{\frac{-6}{7}}.x^{\frac{5}{7}}}{49x^{\frac{2}{7}}}49x72​21x7−6​.x75​​﻿ having fraction exponent.

﻿3x−377\frac{3x^{\frac{-3}{7}}}{7}73x7−3​​﻿

﻿3x177\frac{3x^{\frac{1}{7}}}{7}73x71​​﻿

﻿3x377\frac{3x^{\frac{3}{7}}}{7}73x73​​﻿

Simplify the expression ﻿x210.x710x−1110\frac{x^{\frac{2}{10}}.x^{\frac{7}{10}}}{x^{\frac{-11}{10}}}x10−11​x102​.x107​​﻿ having fraction exponent.

﻿xxx﻿

﻿x2x^2x2﻿

﻿x−2x^{-2}x−2﻿

Simplify the expression﻿x38x58.x38\frac{x^{\frac{3}{8}}}{x^{\frac{5}{8}}.x^{\frac{3}{8}}}x85​.x83​x83​​﻿ having fraction exponent.

﻿x118x^{\frac{11}{8}}x811​﻿

﻿x−58x^{\frac{-5}{8}}x8−5​﻿

﻿x58x^{\frac{5}{8}}x85​﻿

Simplify the expression ﻿39x1512.x201213x1112\frac{39x^{\frac{15}{12}}.x^{\frac{20}{12}}}{13x^{\frac{11}{12}}}13x1211​39x1215​.x1220​​﻿ having fraction exponent.

﻿3x−23x^{-2}3x−2﻿

﻿3x23x^23x2﻿

﻿3x3x3x﻿

Incorrect

Great!

Simplify the expression $\frac{10x^{\frac{3}{4}}}{4x^{\frac{5}{4}}.x^{\frac{7}{4}}}$ having fraction exponent.

$\frac{5x^{\frac{-9}{4}}}{2}$

$\frac{5x^{\frac{15}{4}}}{2}$

$\frac{5x^{\frac{9}{4}}}{2}$

Simplify the expression $\frac{18x^{\frac{5}{6}}}{30x^{\frac{11}{6}}.x^{\frac{-7}{6}}}$ having fraction exponent.

$\frac{3x^{\frac{1}{6}}}{5}$

$\frac{3x^{\frac{-1}{6}}}{5}$

$\frac{3x^{\frac{2}{3}}}{5}$

Simplify the expressionv $\frac{18x^{\frac{3}{5}}.x^{\frac{4}{5}}}{10x^{\frac{6}{5}}}$ having fraction exponent.

$\frac{9x^{\frac{-1}{5}}}{5}$

$\frac{9x^{\frac{1}{5}}}{5}$

$\frac{9x^{\frac{13}{5}}}{5}$

Simplify the expression $\frac{x^{\frac{8}{11}}.x^{\frac{9}{11}}}{x^{\frac{-4}{11}}}$ having fraction exponent.

$x^{\frac{13}{11}}$

$x^{\frac{21}{11}}$

$x^{\frac{-21}{11}}$

Simplify the expression $\frac{20x^{\frac{-6}{7}}}{30x^{\frac{2}{7}}.x^{\frac{8}{7}}}$ having fraction exponent.

$\frac{2x^{\frac{4}{7}}}{3}$

$\frac{2x^{\frac{-16}{7}}}{3}$

$\frac{2x^{\frac{16}{7}}}{3}$

Simplify the expression $\frac{x^{\frac{9}{2}}}{x^{\frac{-4}{2}}.x^{\frac{-11}{2}}}$ having fraction exponent.

$x^{24}$

$x^{12}$

$x^{-12}$

Simplify the expression $\frac{21x^{\frac{-6}{7}}.x^{\frac{5}{7}}}{49x^{\frac{2}{7}}}$ having fraction exponent.

$\frac{3x^{\frac{-3}{7}}}{7}$

$\frac{3x^{\frac{1}{7}}}{7}$

$\frac{3x^{\frac{3}{7}}}{7}$

Simplify the expression $\frac{x^{\frac{2}{10}}.x^{\frac{7}{10}}}{x^{\frac{-11}{10}}}$ having fraction exponent.

$x$

$x^2$

$x^{-2}$

Simplify the expression $\frac{x^{\frac{3}{8}}}{x^{\frac{5}{8}}.x^{\frac{3}{8}}}$ having fraction exponent.

$x^{\frac{11}{8}}$

$x^{\frac{-5}{8}}$

$x^{\frac{5}{8}}$

Simplify the expression $\frac{39x^{\frac{15}{12}}.x^{\frac{20}{12}}}{13x^{\frac{11}{12}}}$ having fraction exponent.

$3x^{-2}$

$3x^2$

$3x$