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Grade 8 HMH Go Math - Answer Keys
Chapter 2:Exponents and Scientific Notation; Lesson 1:Integer Exponents
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Independent Practice
Question 21
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Explain why the exponents cannot be added in the product \(12^ 3 \cdot 11^ 3 \).
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Question 22
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List three ways to express \(3^ 5\) as a product of powers.
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Question 23
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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?
Question 24
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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 28
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Communicate Mathematical Ideas
Why do you subtract exponents when dividing powers with the same base?
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Question 29
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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?
Question 30
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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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