Free Printable Indices and standard Index form

1.

State (a / b)^-7in positive index form

a)

(b / a)⁷

b)

(a / b)⁷

c)

(1 / ab)⁷

d)

(ab / 7)

2.

2.5 x 10²+ 1.35 x 10⁴ =

a)

1.375 x 10⁴

b)

3.85 x 10⁶

c)

1375

3.

Simplify the following expression:
xy^-7

a)

xy⁷

b)

x/y⁷

c)

x⁷/y

d)

x⁷y

4.

(y⁹)^-2

a)

y¹⁸

b)

y¹¹

c)

1/y¹⁸

d)

y⁹/2

5.

a⁷×a⁴÷a⁵

a)

a⁷

b)

a⁶

c)

a⁴

d)

a¹¹

6.

Which of the following is in standard form?

a)

20.35 x 10⁴

b)

.2035 x 10⁴

c)

2035⁴

d)

2.035 x10⁴

7.

Simplify: w²⁴ ÷ w⁸

a)

w¹⁶

b)

w³

c)

w³²

d)

w^24/8

8.

When writing a number in standard form, the first number must be greater than 1 but less than 10.

a)

FALSE

b)

TRUE

9.

Simplify: (3x)² × (2x³y)² ÷ 6y³

a)

6x⁸y^-1

b)

6x⁸y

c)

3x⁷y

d)

3x⁷y^-1

10.

Which is the base and which is the exponent? 5²

a)

5 is base and 2 is exponent

b)

5 is base and exponent

c)

2 is base and 5 is exponent

d)

2 is base and exponent

11.

4^(x-2)= 64^(x+1)

a)

-2/5

b)

-5/2

c)

7/2

d)

2/7

12.

What is 5^-1

a)

⅖

b)

⅕

c)

⅔

d)

-5

13.

Given $y=x^4$ . Find the value of y when $x=-5$ .

a)

$-625$

b)

$-20$

c)

$625$

14.

Evaluate the expression using the quotient rule.

a)

2¹⁴ z¹³

b)

2²/z⁷

c)

2¹⁴/ z⁷

d)

2²z⁷

15.

Using exponent's properties, write in lowest terms.

\left(3x^{3\ }y^{-6}\right)^2

a)

$\frac{3x^6}{y^6}$

b)

$\frac{9x^6}{y^6}$

c)

$\frac{9x^6}{y^{12}}$

d)

$3x^{6\ }y^{12}$

16.

2³ × 2ⁿ = 2⁹

Work out the value of n.

a)

3

b)

6

c)

7

d)

4

17.

Simplify the following form into positive integers indices $\frac{1}{3^{-5}}$

a)

$3^{-5}$

b)

$5^3$

c)

$3^5$

d)

$5^{-3}$

18.

Calculate (p⁴q³r³) : (p²q³r)

a)

p²r²

b)

p²qr²

c)

p²r

d)

p²qr

19.

Determine (-4³)⁶

a)

-4⁹

b)

4⁹

c)

-4¹⁸

d)

4¹⁸

20.

$\frac{s^4t^7w^{-6}}{s^{12}t^{-2}w^2}$

a)

$s^8t^9w^{-4}$

b)

$s^{-8}t^9w^{-4}$

c)

$\frac{t^9w^{-4}}{s^8}$

d)

$\frac{t^9}{s^8w^4}$

21.

$a^{7\ }\div\ a^2\ \times\ a^5$ is same as

a)

$\frac{a^7}{a^2\times a^5}$

b)

$\frac{a^7}{a^2}\times a^5$

Indices and standard Index form

Total questions: 21

Worksheet time: 21mins

Similar Resources on Wayground