Homework Explained - Math Practice 101

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Chapter 2:Exponents and Scientific Notation; Lesson 1:Integer Exponents

### Independent Practice

• Question 21

Explain why the exponents cannot be added in the product $$12^ 3 \cdot 11^ 3$$.

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• Question 22

List three ways to express $$3^ 5$$ as a product of powers.

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• Question 23

Astronomy

The distance from Earth to the moon is about $$22^ 4$$ miles. The distance from Earth to Neptune is about $$22^ 7$$ miles. Which distance is the greater distance and about how many times greater is it?

•  times
• Question 24

Critique Reasoning

A student claims that  $$8^3 \cdot 8^{-5}$$ is greater than 1. Explain whether the student is correct or not.

Find the missing exponent.

• Question 25

$$( b^ 2 )^? = b ^{-6}$$

• Question 26

$$x ^? \cdot x ^ 6 = x ^ 9$$

• Question 27

$$\large\frac{y^{25}}{y^?}=y^6$$

• Question 28

Communicate Mathematical Ideas

Why do you subtract exponents when dividing powers with the same base?

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• Question 29

Astronomy

The mass of the Sun is about $$2 \times 10^ {27}$$ metric tons, or $$2 \times 10^ {30}$$ kilograms. How many kilograms are in one metric ton?

•  kgs in one metric ton
• Question 30

Represent Real-World Problems

In computer technology, a kilobyte is $$2^{10}$$ bytes in size. A gigabyte is $$2^{ 30}$$ bytes in size. The size of a terabyte is the product of the size of a kilobyte and the size of a gigabyte. What is the size of a terabyte?

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