Index Laws Review

Authored by Jessica James

Mathematics

8th - 10th Grade

Used 26+ times

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10 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Write in index form: 5 x 5 x 5

5³

555

5⁵

5 x 3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Write in index form:
$\frac{9\times9\times9\times9\times9}{9\times9}$

$9^2$

$9^5$

$9^3$

$9^7$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify the following into INDEX form: 7²x 7⁶

7¹²

7⁸

(7 x 7) x (7 x 7 x 7 x 7 x 7 x 7)

7¹⁰

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify the following:
$5^{13}\div5^6$

$5^{19}$

$5^{76}$

$5^7$

$5^6$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify the following in index notation: (8³)²

8⁶

8⁵

8 x 3 x 2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

(Hard problem) Simplify the following
$\frac{26x^7y^4}{13x^2y^3}$

$13x^5y$

$2x^5y^3$

$13x^1y^5$

$2x^5y$

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Simplify the following:
$\frac{x^4}{y}\times\frac{y^3}{x}$

$\frac{x^4y^3}{yx}$

$\frac{x^4+y^3}{y+x}$

$x^3y^2$

$x^5y^4$

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify the following: $\left(\frac{3}{4}\right)^{-1}$

4 x 3

$\frac{4}{3}$

3 / 4

0.75

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Simplify the following to positive indices: $\left(\frac{3}{4}\right)^{-2}$

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

$\frac{4}{3}$

$\frac{16}{9}$

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

10.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Simplify and Solve the following: $\frac{8x^3\times3x^{-3}}{4x^0}$

$\frac{24x}{x}$

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Index Laws Review

Write in index form: 5 x 5 x 5

Write in index form: 9×9×9×9×99×9\frac{9\times9\times9\times9\times9}{9\times9}9×99×9×9×9×9​

Simplify the following into INDEX form: 72 x 76

Simplify the following: 513÷565^{13}\div5^6513÷56

Simplify the following in index notation: (83)2

(Hard problem) Simplify the following 26x7y413x2y3\frac{26x^7y^4}{13x^2y^3}13x2y326x7y4​

Simplify the following: x4y×y3x\frac{x^4}{y}\times\frac{y^3}{x}yx4​×xy3​

Simplify the following: (34)−1\left(\frac{3}{4}\right)^{-1}(43​)−1

Simplify the following to positive indices: (34)−2\left(\frac{3}{4}\right)^{-2}(43​)−2

Simplify and Solve the following: 8x3×3x−34x0\frac{8x^3\times3x^{-3}}{4x^0}4x08x3×3x−3​

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Discover more resources for Mathematics

Write in index form:
$\frac{9\times9\times9\times9\times9}{9\times9}$

Simplify the following into INDEX form: 7²x 7⁶

Simplify the following:
$5^{13}\div5^6$

Simplify the following in index notation: (8³)²

(Hard problem) Simplify the following
$\frac{26x^7y^4}{13x^2y^3}$

Simplify the following:
$\frac{x^4}{y}\times\frac{y^3}{x}$

Simplify the following: $\left(\frac{3}{4}\right)^{-1}$

Simplify the following to positive indices: $\left(\frac{3}{4}\right)^{-2}$

Simplify and Solve the following: $\frac{8x^3\times3x^{-3}}{4x^0}$