Free Printable Indices and standard form

1.

Write 2 x 2 x 2 x 2 in index form

a)

2³

b)

2⁵

c)

16

d)

2⁴

2.

Simplify: χ³ ÷ χ²

a)

χ

b)

χ⁵

c)

χ⁶

d)

χ^-1

e)

1/χ

3.

Evaluate 2³+ 3²

a)

72

b)

36

c)

12

d)

17

4.

Simplify the following expression:
xy^-7

a)

xy⁷

b)

x/y⁷

c)

x⁷/y

d)

x⁷y

5.

(y⁹)^-2

a)

y¹⁸

b)

y¹¹

c)

1/y¹⁸

d)

y⁹/2

6.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

7.

What is the missing index?(2⁶)^x = 2¹⁸

a)

12

b)

3

c)

10

d)

4

8.

$\left(8a\right)^2=\$

a)

$16a$

b)

$64a$

c)

$16a^2$

d)

$64a^2$

9.

$2\left(a^2b\right)^3$ =

a)

$2a^5b^3$

b)

$2a^6b^3$

c)

$6a^2b$

d)

$8a^6b^3$

10.

If

7^5\times7^6=\ 7^3\times7^k

, then k=

a)

4

b)

7

c)

8

d)

10

11.

0.0346 written in standard form is

a)

$3.46\times10^2$

b)

$3.46\times10$

c)

$3.46\times10^{-1}$

d)

$3.46\times10^{-2}$

12.

$5^{-2}$ =

a)

$-25$

b)

$-10$

c)

$\frac{1}{5}$

d)

$\frac{1}{25}$

13.

$a\times\left(a^2\right)^9=$

a)

$a^{11}$

b)

$a^{12}$

c)

$a^{18}$

d)

$a^{19}$

14.

$9^5\times3^{-5}$ written as a power of 3 is

a)

$3^2$

b)

$3^5$

c)

$3^{10}$

d)

$3^{12}$

15.

Name the x- and y-intercepts for the equation:
2x + y = 6

a)

(0, 3) and (6, 0)

b)

(0, -3) and (-6, 0)

c)

(3, 0) and (0, 6)

d)

(-3, 0) and (0, -6)

16.

What does "m" represent in y=mx+b?

a)

y-intercept

b)

slope

c)

macaroni

d)

nothing

17.

Which ordered pair could represent a y-intercept on a graph?

a)

(6, 0)

b)

(0, 4)

c)

(-1, 3)

d)

(2, 0)

18.

$t^9\times t^6\div t^3$ =

a)

$t$

b)

$t^{12}$

c)

$t^3$

d)

$t^{18}$

Indices and standard form

Total questions: 18

Worksheet time: 18mins

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