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3 years ago

Evaluate

Mathematics

1 answer:

Diano4ka-milaya [45]3 years ago

5 0

Answer:

81/64

Step-by-step explanation:

(-8)^-2

----------------

3^-4

Negative exponents move the item from the numerator to the denominator, and from the denominator to the numerator

(3)^4

----------------

(-8)^2

Now evaluate the power

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Represent the number 108 in expanded form and exponent

lubasha [3.4K]

<h3>Further explanation</h3>

Let's recall following formula about Exponents and Surds:

$\boxed { \sqrt { x } = x ^ { \frac{1}{2} } }$

$\boxed { (a ^ b) ^ c = a ^ { b . c } }$

$\boxed {a ^ b \div a ^ c = a ^ { b - c } }$

$\boxed {\log a + \log b = \log (a \times b) }$

$\boxed {\log a - \log b = \log (a \div b) }$

<em>Let us tackle the problem!</em>

$\texttt{ }$

$108 = 54 \times 2$

$108 = (27 \times 2) \times 2$

$108 = (9 \times 3) \times 2 \times 2$

$108 = (3 \times 3) \times 3 \times 2 \times 2$

$108 = 3^3 \times 2^2$

$\texttt{ }$

<h3>Conclusion:</h3>

The number 108 could be represented in expanded form and exponent as following:

$\boxed{ 108 = 3^3 \times 2^2 }$

$\texttt{ }$

<h3>Learn more</h3>

Coefficient of A Square Root : brainly.com/question/11337634
The Order of Operations : brainly.com/question/10821615
Write 100,000 Using Exponents : brainly.com/question/2032116

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Exponents and Surds

Keywords: Power , Multiplication , Division , Exponent , Surd , Negative , Postive , Value , Equivalent , Perfect , Square , Factor.

#LearnWithBrainly

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The price of a gallon of milk was $2.65. The price rose y dollars after the last hurricane. Then the price dropped $0.15 and lat

Keith_Richards [23]

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D) is the answer

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4 years ago

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nadezda [96]

Answer:

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Step-by-step explanation:

(p . q)(8) means do q first to 8 then do p to that, which is the same as writing p(q(8)). Then just plug the numbers in.

q(8)=√8+8=√16=4

p(4)=4^2+9=16+9=25

The second one is the opposite order but same reasoning.

p(8)=8^2+9=64+9=73

q(73)=√73+8=√81=9

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