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3 years ago

9

10 ÷ (20 ÷ 2² × 5 ÷ 5) × 8 - 2

1 answer:

dangina [55]3 years ago

5 0

Use PEMDAS:

P arenthesis
E xponents
M ultiplication
D ivision
A dd
S ubstract

Paranthesis and Exponents
(20 / 2^2 * 5 / 5) = 5

Multiplication
5*8= 40

Division
10 / 40 = 0.25

Subtraction
0.25 - 2 = −1.75

Therefore,
The answer is -1.75

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3 years ago

Simplify LaTeX: \Large\frac{-4^{6} \cdot 4^{2}}{4^{4}}

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⇨ The value of this <u>simplified expression</u> = -4096/1 or -4096.

<h3> </h3>

To solve this expression, just multiply the power base by how many times indicate the exponent, and then divide the numerator and denominator of the fraction by the same number.

Power or potentiation is a multiplication in equal factors, where there are <em>terms responsible</em> for obtaining the final result. An potency is given by $\large \sf a^{n}.$ The terms of a power are:

<h3> </h3>

Base
Exponent
equal factors
power

<h3> </h3>

✏️ <u>Resolution/Answer</u>:

$\\ \large \sf \dfrac{-4^{6} \cdot 4^{2}}{4^{4}}=\\\\$

Multiply the powers of the numbers at numerator of the fraction, with the base <em>being multiplied by how many times</em> to indicate the exponent.

$\\\large \sf \dfrac{-4^{6} \cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-4\cdot4\cdot4\cdot4\cdot4\cdot4\cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-4\cdot4\cdot4\cdot4\cdot16\cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-4\cdot4\cdot16\cdot16\cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 4^{2}}{4^{4}}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 4\cdot4}{4^{4}}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{4^{4}}=\\\\$

<em>Multiply </em>the power at denominator of the fraction:

$\\\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{4^{4}}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{4\cdot4}=$

$\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{16}=\\\\$

<em>Multiply </em>the numerator numbers together:

$\\\large \sf \dfrac{-16\cdot16\cdot16\cdot 16}{16}=$

$\large \sf \dfrac{-16\cdot16\cdot 256 }{16}=$

$\large \sf \dfrac{-256\cdot 256 }{16}=$

$\large \sf \dfrac{- 65536 }{16}=\\\\$

Simplify the fraction by number 16:

$\\\large \sf \dfrac{- 65536 }{16}=$

$\large \sf \dfrac{- 65536 \div16}{16\div16}=$

${\orange{\boxed{\boxed{\pink {\large \displaystyle \sf { \frac{-4096}{1} \ or \ -4096 }}}}}} \\\\\\$

So this expression in its simplified form = -4096/1 or -4096.

${\orange{\boxed{\boxed{\pink {\large \displaystyle \sf { \frac{-4096}{1} \ or \ -4096 }}}}}}\\\\$

★ Hope this helps! ❤️

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3 years ago

****PLEASE HELP**** Meghan spends 25% more each year for auto insurance than Scott, and together they spend $1237.50 per year. H

s344n2d4d5 [400]

Answer: Meghan spent $687.5 per year.

Step-by-step explanation:

Let x represent the amount of money that Scott spends per year for auto insurance.

Meghan spends 25% more each year for auto insurance than Scott. The value of 25% of the amount that Scott spends per year is

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Therefore, the amount that Meghan spends would be

x + 0.25x = 1.25x

If the amount that they spent together is $1237.50 per year, it means that

x + 1.25x = 1237.5

2.25x = 1237.5

x = 1237.5/2.25

x = 550

The amount that Meghan spent per year would be

1.25 × 550 = 687.5

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