Question 1

Evaluate the expression $$(-9)^{-2}.$$

Accepted Answer

$$\dfrac{1}{81}$$

Question 2

Simplify the expression $$\dfrac{2x^3$y}{x^4$}^3$$ and write your answer using only positive exponents.

Accepted Answer

$$\dfrac{8y^3$}{x^3$}$$

Question 3

Which of the following is the correct scientific notation for the number $$0.0000811$$?

Accepted Answer

$$8.11 	imes 10$$^{-5}$$

Question 4

Simplify the expression $$\dfrac{x^3$y^{-3}$$}{$$x^{-1}y$$}$ and write your answer using only positive exponents.

Accepted Answer

$$\dfrac{x^4$}{y^4$}$$

Question 5

A country's national debt is approximately $$1,540,000,000,000. $$Which of the following is the correct scientific notation?

Accepted Answer

$$1.54 	imes 10$$^{12}$$

Question 6

Simplify the expression $$\dfrac{3x^5$y^4z^2$}{x^5$y^4z$$^{-7}$$}$$ and write your answer using only positive exponents.

Accepted Answer

Question 7

Convert $$6,600,000 to $$scientific notation.

Accepted Answer

$$6.6 	imes 10$$^{6}$$

Question 8

Simplify the expression $$\left(\dfrac{xy$$^{-4}$$z^{-2}$$}{$$x^2y$$^{-5}$$z^3$$}\$$right)^{-2}$ and write your answer using only positive exponents.

Accepted Answer

$$\dfrac{z$$^{10}$$x^2$$}{$$y^2$$}$

Question 9

Which of the following is the correct scientific notation for the mass $$6,150,000,000,000,000,000,000,000$$ kilograms?

Accepted Answer

$$6.15 	imes 10$$^{24}$$

Question 10

Simplify the expression $$\dfrac{-3x^4$}{(-2$$)^{-2}$$}$$ and write your answer using only positive exponents.

Accepted Answer

$$\dfrac{16}{9x^2$}$$

Question 11

A scientist measures a volume as $$0.00000000047$$ cubic balrogs. What is this value in scientific notation?

Accepted Answer

$$4.7 	imes 10$$^{-10}$$

Question 12

Evaluate $$\dfrac{2^9$ \cdot 5$$^{-8}$$}{2^8$ \cdot 5$$^{-9}$$}.$$

Accepted Answer

$$10$$

Question 13

Which of the following is the correct scientific notation for the equatorial diameter of Planet-3, $$1,370,000 km$$?

Accepted Answer

$$1.37 	imes 10$$^{6}$$

Question 14

Simplify the expression $$\left(\dfrac{11}{2}\$$right)^{-2}$$.

Accepted Answer

$$\dfrac{4}{121}$$

Question 15

Which of the following is the correct scientific notation for the equatorial diameter of Planet-2, $$3,490 km$$?

Accepted Answer

$$3.49 	imes 10$$^{3}$$

Question 16

Simplify the expression $$\dfrac{3x^5$y^4z^2$}{x^5$y^4z$$^{-7}$$}$$ and write your answer using only positive exponents.

Accepted Answer

$$3z^9$$

Question 17

Which of the following is the correct scientific notation for the equatorial diameter of Planet-4, $$133,000 km$$?

Accepted Answer

$$1.33 	imes 10$$^{5}$$

Question 18

Which of the following is the correct scientific notation for the equatorial diameter of Planet-5, $$4,600 km$$?

Accepted Answer

$$4.60 	imes 10$$^{3}$$

Precalculus Exponents and Scientific Notation Study Guide

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