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s344n2d4d5 [400]
3 years ago
9

Which expressions are equivalent to this exponential expression?

Mathematics
1 answer:
gregori [183]3 years ago
8 0
Remember that when the exponents look like this (5^2)^-3, you multiply the exponents together

when it looks like this:
5^3 x 5^2 you add the exponents
so my example would equal 5^5

also remember that you can’t have negative exponents

To solve your problem:
1. multiply the exponents here: (5^2)^-3

2. add the exponents in the next step when you multiply by the 5^4

3. now, you should get a negative exponent on the top, and you already have one on the bottom. to get rid of these negative exponents, move the one in the denominator to the numerator and vice versa

so when you move the 5^-4 in the denominator to the numerator, it becomes 5^4

4. now, you simplify. you can either subtract the exponents and do it that way, or you can solve the exponents and then divide. either way will work, although the first is easier
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48x + 6 factored is 6 (8x + 1)<br> True<br> False
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The average speed of a car on a stretch of interstate is 70 miles per hour. Convert this rate to feet per second.
polet [3.4K]

Answer:

<h3>102. 66 feet / Second</h3>

Step-by-step explanation:

To do conversion change miles into feet and hour into second.

One foot is 5280 feet

And an hour is 3600sec

70 miles / Hour

70 * 5280feet / 3600 second

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Step-by-step explanation:

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The formula for the area of a rhombus is A = a equals StartFraction one-half EndFraction d 1 d 2.D1d2, where d1 and d2 are the l
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Answer:

d1=2A/d2

d2=2A/d1

Step-by-step explanation:

The options of this question are:

1. d₁=2Ad₂

2. d₁= 2A/d₂

3. d₂= d₁/2A

4. d₁= 2A/d₂

5. d₂= 2Ad₁

Given:

A=1/2(d1*d2)

Multiply both sides by 2

We have,

2A=d1*d2

Divide both sides by d2

2A/d2=d1*d2/d2

2A/d2=d1

Therefore, d1=2A/d2

Similarly, from the previous equation

2A=d1*d2

Divide both sides by d1

2A/d1=d1*d2/d1

2A/d1=d2

Therefore,

d2=2A/d1

Options

2. d₁= 2A/d₂

4. d₁= 2A/d₂

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