Write the product using exponents. (very easy)

Mathematics

2 answers:

julsineya [31]2 years ago

8 0

Answer:

Step-by-step explanation:

$(-12) \cdot(-12)\cdot(-12)\cdot(-12)\cdot(-12)\\\\\mathrm{Remove\:parentheses}:\\\quad \left(-a\right)=-a,\:-\left(-a\right)=a\\\\=-12\cdot \:12\cdot \:12\cdot \:12\cdot \:12\\\\\mathrm{Multiply\:the\:numbers:}\:\\12\cdot \:12\cdot \:12\cdot \:12\cdot \:12\\=248832\\\\$

<h2>OR</h2><h2> $(-12) \cdot(-12)\cdot(-12)\cdot(-12)\cdot(-12)\\\\ (-12)\:appears \:in \:5\:places\\\\=(-12)^5$ </h2>

exis [7]2 years ago

5 0

Answer:

-12^5

Step-by-step explanation:

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In how many different ways can you answer a multiple choice test that has 5 questions and 3 choices for each answer?

GarryVolchara [31]

Answer:

243

Step-by-step explanation:

If there is one question that has three choices a1, a2, and a3, then there will be 3 i.e. 3¹ different ways of answering which are a1 or a2 or a3.

If there are two questions that have answer choices a1, a2, a3 and b1, b2, b3 then there will be 9 i.e. 3² different ways of answering which are a1-b1, a1-b2, a1-b3, a2-b1, a2-b2, a2-b3, a3-b1, a3-b2, and a3-b3.

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