Free Printable Simplifying Rational Exponents

1.

Simplify the rational expression
$x^4\cdot x^5\cdot x^3$

a)

$x^{12}$

b)

$x^{19}$

c)

$x^{27}$

d)

$x^{60}$

2.

Simplify the rational expression
$\left(\frac{b^8}{b^4}\right)^{^2}$

a)

$b^4$

b)

$b^6$

c)

$b^8$

d)

$b^{16}$

3.

$\frac{m^3\cdot m^5}{m^2}$ Simplify the rational expression

a)

$1$

b)

$m^4$

c)

$m^5$

d)

$m^6$

4.

$a^2\cdot\left(a^3\cdot b^4\right)^2$ Simplify the rational expression

a)

$a^7\cdot b^6$

b)

$a^8\cdot b^8$

c)

$a^{10}\cdot b^6$

d)

$a^{12}\cdot b^8$

5.

Simplify the rational expression
$x^{-6}\cdot x^2$

a)

$x^{-3}$

b)

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

c)

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

d)

$x^{-12}$

6.

$\frac{7n^5m^{-2}}{14n^{-2}m^4}$ Simplify the rational expression. Use positive exponents.

a)

$2n^3m^2$

b)

$\frac{7nm^3}{14mn^2}$

c)

$\frac{n^3}{2m^2}$

d)

$\frac{n^7}{2m^6}$

7.

$\left(\frac{3x^5y^{-4}}{5x^2}\right)^{^{^2}}$ Simplify the rational expression. Use positive exponents.

a)

$\frac{3x^5}{5y^6}$

b)

$\frac{9x^5}{25y^6}$

c)

$\frac{3x^6}{5y^8}$

d)

$\frac{9x^6}{25y^8}$

Simplifying Rational Exponents

Total questions: 7

Worksheet time: 4mins

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