Free Printable Math 9

1.

Make this negative exponent positive.
9^-3

a)

9³

b)

1/9^-3

c)

1/9³

d)

729

2.

According to exponent rules, when we multiply the same base we _______ the exponents.

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

3.

y ⁻¹¹⋅ y⁵

a)

1⁄y⁶

b)

y⁶

c)

-y⁶

d)

-1⁄y⁶

4.

Division Law states: keep the base the same and do this to the exponents.

a)

multiply

b)

add

c)

subtract

d)

divide

5.

Simplify:
x⁵÷ x²

a)

x⁷

b)

x³

c)

x¹⁰

d)

x^2.5

6.

Simplify:
(x³)(x²)

a)

x⁵

b)

x⁶

c)

x

d)

x^1.5

7.

Simplify (-5.7)⁰

a)

1

b)

0

c)

-1

d)

-5.7

8.

According to exponent rules, when we multiply the same base we _______ the exponents.

a)

Multiply

b)

Add

c)

Divide

d)

Subtract

9.

(2x³y)⁶

a)

2x¹⁸y⁶

b)

64x¹⁸y⁶

c)

64x³y⁶

d)

2x³y⁶

10.

$Simplify\ x^{\frac{1}{7}}\cdot\ x^{\frac{2}{7}}$

a)

$x^{\frac{3}{14}}$

b)

$x^{\frac{3}{7}}$

c)

$x^3$

d)

$x^{\frac{2}{49}}$

11.

$Simplify\ \ \ \frac{x^{\frac{3}{5}}}{x^{\frac{1}{5}}}$

a)

$x^2$

b)

$x^{\frac{2}{10}}$

c)

$\frac{1}{x^{\frac{2}{5}}}$

d)

$x^{\frac{2}{5}}$

12.

$Simplify\ \ \ \ \left(25x^{\frac{-1}{2}}\right)^{\frac{1}{2}}$

a)

$5x^{\frac{1}{4}}$

b)

$\frac{1}{5x^{\frac{1}{4}}}$

c)

$\frac{25}{x^{\frac{1}{4}}}$

d)

$\frac{5}{x^{\frac{1}{4}}}$

13.

$Simplify\ \ \ \ \ \ \ \left(-3x^{\frac{2}{5}}y^{\frac{-4}{3}}\right)^0$

a)

1

b)

0

c)

-3

d)

$\frac{-3x^{\frac{2}{5}}}{y^{\frac{4}{3}}}$

14.

Re-write $\left(5xy\right)^{-\frac{1}{3}}$ in radical form.

a)

$\ ^3\sqrt{5xy}$

b)

$\frac{1}{\ ^3\sqrt{5xy}}$

c)

$\frac{1}{\left(5xy\right)^3}$

d)

$\frac{5}{\ ^3\sqrt{xy}}$

15.

Re-write $\ ^5\sqrt{\sqrt{a}}$ in rational exponent form.

a)

$a^{\frac{1}{10}}$

b)

$a^{\frac{1}{5}}$

c)

$a^{\frac{1}{2}}$

d)

$\ ^{10}\sqrt{a}$

16.

Simplify:

\sqrt{45}

a)

$9\sqrt{5}$

b)

$3\sqrt{5}$

c)

$2\sqrt{5}$

d)

$3\sqrt{15}$

17.

$Simplify\ \sqrt{20a^2b^4}$

a)

$2ab^2\sqrt{5}$

b)

$4ab^2\sqrt{5}$

c)

$5ab^2\sqrt{5}$

d)

$2a^2b^2\sqrt{5}$

18.

$Which\ is\ the\ same\ as\ \sqrt{5y}?$

a)

$\sqrt{5\ \ }+\ \sqrt{y}$

b)

$\sqrt{5}-\sqrt{y}$

c)

$\frac{\sqrt{5}}{\sqrt{y}}$

d)

$\sqrt{5}\ \cdot\ \sqrt{y}$

19.

$Which\ is\ equivalent\ to\ \sqrt{\frac{5}{m}}?$

a)

$\sqrt{5}\ +\sqrt{m}$

b)

$\sqrt{5\ }-\ \sqrt{m}$

c)

$\sqrt{5\ }\cdot\ \sqrt{m}$

d)

$\frac{\sqrt{5}}{\sqrt{m}}$

20.

a)

2c

b)

3c

c)

4c

d)

6c

Math 9

Total questions: 20

Worksheet time: 10mins

Similar Resources on Wayground