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Questions

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Time

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Mixed Power Rules

Which of the following expressions is equivalent to $(10^2)^{-5}$ ?

$10^{-3}$

$10^7$

$10^{-10}$

$10^3$

Which of the following expressions is equivalent to $(-4^5)^4$ ?

$-4^{-1}$

$-4^9$

$-4^1$

$-4^{20}$

Which of the following expressions is equivalent to $(22^6)^2$ ?

$22^{12}$

$22^3$

$22^4$

$22^8$

Which of the following expressions is equivalent to $\left(12^{15\ }\right)^3$ ?

$12^{18}$

$12^5$

$12^{-5}$

$12^{45}$

Which of the following expressions is equivalent to $(11^0)^4$ ?

$11^{-4}$

$11^0$

$11^1$

$11^4$

Which of the following expressions is equivalent to $(13^{-2})^4$ ?

$13^{-2}$

$13^2$

$13^8$

$13^{-8}$

Which of the following expressions is equivalent to $(9^7)^{10}$ ?

$9^{17}$

$9^{-3}$

$9^3$

$9^{70}$

Which of the following expressions is equivalent to $(7^4)^4$ ?

$7^{-1}$

Which of the following expressions is equivalent to $(13^3)^9$ ?

$13^3$

$13^{-6}$

$13^{27}$

$13^6$

Which of the following expressions is equivalent to $(3^2)^4$ ?

$3^4$

$3^6$

$3^8$

$9^2$

Questions

Time

Score

Mixed Power Rules

Which of the following expressions is equivalent to ﻿(102)−5(10^2)^{-5}(102)−5﻿ ?

﻿10−310^{-3}10−3﻿

﻿10710^7107﻿

﻿10−1010^{-10}10−10﻿

﻿10310^3103﻿

Which of the following expressions is equivalent to ﻿(−45)4(-4^5)^4(−45)4﻿ ?

﻿−4−1-4^{-1}−4−1﻿

﻿−49-4^9−49﻿

﻿−41-4^1−41﻿

﻿−420-4^{20}−420﻿

Which of the following expressions is equivalent to ﻿(226)2(22^6)^2(226)2﻿ ?

﻿221222^{12}2212﻿

﻿22322^3223﻿

﻿22422^4224﻿

﻿22822^8228﻿

Which of the following expressions is equivalent to ﻿(1215 )3\left(12^{15\ }\right)^3(1215 )3﻿ ?

﻿121812^{18}1218﻿

﻿12512^5125﻿

﻿12−512^{-5}12−5﻿

﻿124512^{45}1245﻿

Which of the following expressions is equivalent to ﻿(110)4(11^0)^4(110)4﻿ ?

﻿11−411^{-4}11−4﻿

﻿11011^0110﻿

﻿11111^1111﻿

﻿11411^4114﻿

Which of the following expressions is equivalent to ﻿(13−2)4(13^{-2})^4(13−2)4﻿ ?

﻿13−213^{-2}13−2﻿

﻿13213^2132﻿

﻿13813^8138﻿

﻿13−813^{-8}13−8﻿

Which of the following expressions is equivalent to ﻿(97)10(9^7)^{10}(97)10﻿ ?

﻿9179^{17}917﻿

﻿9−39^{-3}9−3﻿

﻿939^393﻿

﻿9709^{70}970﻿

Which of the following expressions is equivalent to ﻿(74)4(7^4)^4(74)4﻿ ?

﻿7−17^{-1}7−1﻿

Which of the following expressions is equivalent to ﻿(133)9(13^3)^9(133)9﻿ ?

﻿13313^3133﻿

﻿13−613^{-6}13−6﻿

﻿132713^{27}1327﻿

﻿13613^6136﻿

Which of the following expressions is equivalent to ﻿(32)4(3^2)^4(32)4﻿ ?

﻿343^434﻿

﻿363^636﻿

﻿383^838﻿

﻿929^292﻿

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