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3 years ago

Someone, please solve this, TYSM!

Mathematics

1 answer:

Tanzania [10]3 years ago

5 0

1, 5, 10, 10, 5, 1. I hope this helps!

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Explain how the Quotient of Powers Property was used to simplify this expression.

Strike441 [17]

Answer:

$\frac{5^{4}}{25} = 25$

Step-by-step explanation:

I'm not sure if you had a typographical error with this statement, "5 to the fourth power, over 25 = 52."

According to the Quotient Rule of Exponents:

$\frac{a^{m}}{a^{n}} = a^{(m-n)}$

Method 1:

In order for you apply the Quotient Rule, the base must be the same. Since 5 is a factor of 25, then you could rewrite 25 as 5². Doing so will give you the following exponential expression:

$\frac{5^{4}}{5^{2}} = 5^{(4 - 2)} = 5^{2} = 25$

Method 2:

Even if you solve the given problem manually, you'd still get the same answer:

$\frac{5^{4}}{25} = \frac{5*5*5*5}{25} = \frac{625}{25} = 25$

Both methods produced the same result, proving that the correct answer is 25.

Please mark my answer as the Brainliest, if you find this helpful :)

3 0

2 years ago

An electrician bought 120 feet of electrical wire and used 105 feet of it. What percent of the wire went unused? 15% 12. 5% 8. 7

Yuri [45]

Answer:

12.5%

Step-by-step explanation:

105 is what percent of 120?

you can use this proportion:

if/of = %/100

in this problem:

is = 105

of = 120

'what percent' = p/100

105/120 = p/100

cross-multiply to get:

120p = 10500

p = 10500/120

p = 87.5

So the electrician used 87.5%, out of 100%, meaning 12.5% went unused

5 0

2 years ago

Read 2 more answers

Convert 570 cm to hm

Ainat [17]

0.057 is the correct answer! Have a great week!

4 0

3 years ago

Use logarithms to solve the equation for t. 1/5 e^(-2 t) = 0.9

blondinia [14]

Answer:

$t = - \frac{ln(4.5)}{2}$

3 0

3 years ago

five people are seated in a row anita sits next to diane but not next to chris chris and diane are seated next to each other ale

In-s [12.5K]

Answer:

Diane

Step-by-step explanation:

Alex, Anita, Diane, Chris, Rob

6 0

2 years ago