已知 4^a=5 4 a = 5 ，求 8 a − 2 a + 2 8^a-2^{a+2} 8 a − 2 a + 2 的值。

5 \sqrt{5} 5 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

3 \sqrt{3} 3 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z">

平方根

Authored by Karen Huang

Mathematics

10th Grade

Used 6+ times

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

下列敘述何者正確?

$2^{\frac{1}{3}}=\frac{1}{2^3}$

$5^{-\frac{2}{3}}=\frac{1}{3\sqrt{25}}$

$\sqrt{2^5}=\left(\sqrt{2}\right)^5$

以上皆非

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

已知 $4^a=5$ ，求 $8^a-2^{a+2}$ 的值。

$\sqrt{5}$

$4$

$5$

$\sqrt{3}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\left(\sqrt{5}-\sqrt{2}\right)^{-3}\left(\sqrt{5}+\sqrt{2}\right)^{-3}=$

$3^{-3}$

$3^3$

$5^{-3}$

$2^3$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\left(-6\right)^3\div3^3\times5^2\div\left(-2\right)^6=$

$-\frac{8}{25}$

$\frac{8}{25}$

$\frac{25}{8}$

$-\frac{25}{8}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

$\left(-2\right)^5\left(-2\right)^3=$

$-2^8$

$2^8$

$\left(-2\right)^{15}$

$-2^{15}$

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

請問 $6.57\times10^{-20}$ 小數點後第幾位始不為0?

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

請問 $6.57\times10^{20}$ 為幾位數?

10.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

下列何者為 7 的負平方根？

-7

$\sqrt{7}$

$-\sqrt{7}$

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