Free Printable Exponents, Advanced!

1.

Simplify: $\left(-2k\right)^3$

a)

$-6k^3$

b)

$-8k^3$

c)

$6k^3$

d)

$8k^3$

2.

Simplify: $6m^3\ \cdot\ 8m^4$

a)

$-48m^{12}$

b)

$48m^{12}$

c)

$-48m^7$

d)

$48m^7$

3.

According to exponent rules, when you multiply exponential expressions with the same base, you _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

4.

Anything raised to the power of zero is:

a)

positive

b)

negative

c)

0

d)

1

5.

Simplify the following: $\left(\frac{2x^3}{3x}\right)^{-2}$

a)

$\frac{9}{4x^4}$

b)

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

c)

$\frac{9x^3}{4}$

d)

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

6.

$\left(\frac{3x^{-3}y^7}{x^6y^{-4}}\right)^{-3}$

a)

$\frac{3x^9}{y^9}$

b)

$\frac{y^{11}}{9x^9}$

c)

$\frac{x^{24}}{9y^{30}}$

d)

$\frac{x^{27}}{27y^{33}}$

7.

According to exponent rules, when we raise an exponential expression to a power we ____________ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

8.

The exponent rules state that when exponential expressions with the same base are divided we ______ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

9.

$7x^2\ \cdot\ 2x^{-3\cdot}\cdot\ x^8$

a)

$9x^7$

b)

$14x^7$

c)

$\frac{9}{x^{48}}$

d)

$\frac{14}{x^{48}}$

10.

$\frac{-40x^3y^4}{-8x^3y}$

a)

$5y^3$

b)

$5y^5$

c)

$32y^3$

d)

$32y^5$

11.

Simplify: $2n^4\ \cdot\ \left(n^2\right)^4$

a)

$2n^6$

b)

$2n^8$

c)

$2n^{10}$

d)

$2n^{12}$

12.

Simplify: $4y^4\ \cdot\ 7x^3y^{-2}$

a)

$11x^3y^2$

b)

$\frac{11x^7}{y^2}$

c)

$28x^3y^2$

d)

$\frac{28x}{y^2}$

13.

$\left(-3ab\right)\left(2a^2\right)^3\left(b^{-4}\right)$

a)

$\frac{-6a^6}{b^3}$

b)

$-6a^7b^3$

c)

$\frac{-24a^6}{b^3}$

d)

$\frac{-24a^7}{b^3}$

14.

$\left(\frac{2x^2}{x^7y}\right)^3$

a)

$\frac{8x^2}{y^3}$

b)

$\frac{8}{x^{15}y^3}$

c)

$\frac{6}{x^4y^3}$

d)

$\frac{6}{x^5y^4}$

15.

Simplify: $\left(-a\right)^3\left(3a^2\right)^2$

a)

$-6a^1$

b)

$-6a^7$

c)

$-9a^7$

d)

$-9a^{10}$

16.

$\frac{\left(k^{-3}\right)^{-8}}{\left(k^8\right)^3}$

a)

$\frac{1}{k^{35}}$

b)

$1$

c)

$k^{13}$

d)

$\frac{1}{k^{22}}$

17.

$4c^3\ \cdot\ 12c^{-3}$

a)

$16c^0$

b)

$48$

c)

$\frac{48}{c^9}$

d)

$8$

18.

$\left(13x^9\ \cdot\ 12yz^6\right)^0\cdot\ \left(4x^3\right)^{2\ }\cdot\ \left(2x^2\right)^{-1}$

a)

$8x^4$

b)

$8x^2$

c)

$14x^3$

d)

$14x^8$

Exponents, Advanced!

Total questions: 18

Worksheet time: 36mins

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