Free Printable PROPERTY OF EXPONENTS AND SCIENTIFIC NOTATION

1.

Simplify the expression. Use only positive exponents. $\frac{a^5b^9c^{-3}}{a^8b^{-2}c^7}$

a)

$\frac{b^{11}}{a^3c^{10}}$

b)

$\frac{a^3b^{11}}{c^{10}}$

c)

$\frac{c^{10}}{a^3b^{11}}$

d)

$a^3b^{11}c^{10}$

2.

Simplify the expression. Use only positive exponents $\left(\frac{x^6y^9z^{-5}}{x^{10}y^{-3}z^2}\right)^{-4}$

a)

$\frac{x^{16}y^{48}}{z^{28}}$

b)

$x^{28}y^{16}z^{48}$

c)

$\frac{y^{48}z^{28}}{x^{16}}$

d)

$\frac{x^{16}z^{28}}{y^{48}}$

3.

Simplify the expression. Use only positive exponents $\left(\frac{2x^2}{3y^2}\right)^0$

a)

1

b)

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

c)

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

4.

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

a)

$\frac{25x^{10}}{27y^{11}}$

b)

$\frac{27}{25x^{10}y^{11}}$

c)

$\frac{27x^{10}y^{11}}{25}$

d)

$\frac{25x^{10}y^{11}}{27}$

5.

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

a)

$\frac{4x^{10}z^{10}}{9y^2}$

b)

$\frac{9x^{10}y^2z^{10}}{4}$

c)

$\frac{9x^{10}y^2}{4z^{10}}$

6.

Simplify the expression shown. Your answer should contain only positive exponents.

a)

b)

c)

d)

7.

125,678,000: Change to scientific notation

a)

1.25678 x 10¹²

b)

.125678 x 10^-9

c)

12.5678 x 10⁸

d)

1.25678 x 10⁸

8.

Add.
(8.31 x 10⁷) + (1.01 x 10⁴)

a)

8.30899 x 10⁷

b)

8.31101 x 10³

c)

8.31101 x 10⁷

9.

Subtract.
(7 x 10⁴) - (4.2 x 10²)

a)

6.958 x 10⁴

b)

6.58 x 10⁴

c)

6.958 x 10²

10.

Add.
(4.5 x 10⁸) + (2.67 x 10⁸)

a)

7.17 x 10¹

b)

7.17 x 10⁸

c)

1.83 x 10⁸

PROPERTY OF EXPONENTS AND SCIENTIFIC NOTATION

Total questions: 10

Worksheet time: 3hrs 30mins

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