Free Printable Index Laws Review

1.

Write in index form: 5 x 5 x 5

a)

5³

b)

555

c)

5⁵

d)

5 x 3

2.

Write in index form:

\frac{9\times9\times9\times9\times9}{9\times9}

a)

$9^2$

b)

$9^5$

c)

$9^3$

d)

$9^7$

3.

Simplify the following into INDEX form: 7²x 7⁶

a)

7¹²

b)

7⁸

c)

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

d)

7¹⁰

4.

Simplify the following:

5^{13}\div5^6

a)

$5^{19}$

b)

$5^{76}$

c)

$5^7$

d)

$5^6$

5.

Simplify the following in index notation: (8³)²

a)

8⁶

b)

8⁵

c)

8

d)

8 x 3 x 2

6.

(Hard problem) Simplify the following

\frac{26x^7y^4}{13x^2y^3}

a)

$13x^5y$

b)

$2x^5y^3$

c)

$13x^1y^5$

d)

$2x^5y$

7.

Simplify the following:

\frac{x^4}{y}\times\frac{y^3}{x}

a)

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

b)

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

c)

$x^3y^2$

d)

$x^5y^4$

8.

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

a)

4 x 3

b)

$\frac{4}{3}$

c)

3 / 4

d)

0.75

9.

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

a)

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

b)

$\frac{4}{3}$

c)

$\frac{16}{9}$

d)

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

10.

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

a)

6

b)

4x

c)

6x

d)

$\frac{24x}{x}$

Index Laws Review

Total questions: 10

Worksheet time: 25mins

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