Free Printable Math F3 Inidices

1.

5^x\ \times\ 125^{x-y}\ =\ 25

Express x in term of y

a)

$x\ =\frac{3\ +2y}{3}$

b)

$x\ =\ \frac{5\ +\ 2y}{4}$

c)

$x=\frac{2+3y}{4}$

d)

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

2.

$Given\ \ -343\ =\ \left(-7\right)^y.$

Find the value of y

a)

3

b)

2

c)

5

d)

4

3.

Find the value of n for

64^n\ =\ 8^{3-n}

a)

2

b)

1

c)

3

d)

4

4.

Calculate the possible values of x for the equation

3^{x^2}\ \times\ 3^{5x}\ =3^{24}

a)

x = 2 and x = -8

b)

x = -3 and x = 8

c)

x = 3 and x= -8

d)

x = 8 and x = -3

5.

Simplify :

\frac{9^{16}}{9^3\ \times\left(9^5\right)^2}

a)

$9^{29}$

b)

$9^{26}$

c)

$9^5$

d)

$9^3$

6.

$5p^2\ \times4p^6\ \times p\ =$

a)

$20p^9$

b)

$9p^9$

c)

$20p^{11}$

d)

$20p^{12}$

7.

Which of the following is

CORRECT

a)

$A\ \ \ \ \ 2^0\ =\ 2$

b)

$B\ \ \ \ \ 2^1\ =1$

c)

$C\ \ \ \ \ y^{-5\ }=\frac{y}{5}$

d)

$D\ \ \ \ \ \left(\frac{5}{8}\right)^{-3}\ =\left(\frac{8}{5}\right)^3$

8.

Simplify

\left(2w^2x^3\right)^4

a)

$A\ \ \ \ \ 8w^8x^{12}$

b)

$B\ \ \ \ \ 16w^8x^{12}$

c)

$C\ \ \ \ \ 8w^6x^7$

d)

$D\ \ \ \ \ 16w^6x^7$

9.

Which of the following is

CORRECT

a)

$A\ \ \ \ \left(\ 2^4\ \right)^5\ =\ \left(4^2\right)^5$

b)

$B\ \ \ \ \left(\ 3^3\ \right)^7=\left(27^{2\ }\right)^4$

c)

$C\ \ \ \ \left(5^2\right)^5=\left(125^2\right)^3$

d)

$D\ \ \ \ \left(7^2\ \right)^4\ =\left(49^2\right)^3$

10.

Simplify

\left(11^3\ \times9^5\right)^3

a)

$A\ \ \ \ \ 11^{3\ }\times9^5$

b)

$B\ \ \ \ \ 11\ \times\ 9^2$

c)

$C\ \ \ \ \ 11^6\ \times9^8$

d)

$D\ \ \ \ \ 11^9\ \times9^{15}$

11.

State 2 x 2 x 2 x 2 in index form.

a)

2³

b)

2⁵

c)

16

d)

2⁴

12.

Simplify 6²x 6³as a single number in index form.

a)

7776

b)

6⁶

c)

6⁵

d)

36⁵

13.

9⁵ ÷ 9³=

a)

9²

b)

9⁸

c)

9¹⁵

14.

a⁷× a⁴÷ a⁵=

a)

a⁷

b)

a⁶

c)

a⁴

d)

a¹¹

15.

Simplify 4⁰

a)

1

b)

4

c)

0

Math F3 Inidices

Total questions: 15

Worksheet time: 19mins

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