Find the value of x ——

Mathematics

1 answer:

guajiro [1.7K]3 years ago

7 0

The value would I think be x

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1.Simplify 5 to the 5th over 5 to the 8th.

timurjin [86]

Q1. The answer is 1 over 5 to the 3rd power.

5 to the 5th is 5⁵
5 to the 8th is 5⁸
5 to the 5th over 5 to the 8th is $\frac{ 5^{5} }{ 5^{8} }$
To simplify, we will use two rules:
$\frac{ x^{a}}{ x^{b} } = x^{a-b} \\ x^{-a} = \frac{1}{ x^{a}}$
Therefore:
$\frac{ 5^{5} }{ 5^{8} } = 5^{5-8} =5^{-3}= \frac{1}{5^{3}}$
$\frac{1}{5^{3}}$ is the same as 1 over 5 to the 3rd power.

Q2. The answer is (53)−4.

The exponents are multiplied when are expressed in the form:
 $(x^{a}) ^{b}= x^{a*b}$
So, $(5^{3} )^{-4}=5^{3*(-4)}=5^{-12}$

Other choices are incorrect:
one third to the 4th times one third to the 7th is $( \frac{1}{3} )^{4} *( \frac{1}{3} )^{7}=( \frac{1}{3} )^{4+7}$
3 to the 7th over 3 to the 15th is $\frac{ 3^{7} }{3^{15}} =3^{7-15}$
45 ⋅ 42 is $4^{5}* 4^{2} = 4^{5+2}$

3 0

3 years ago

Read 2 more answers

What is the percent error in the meteorologists forecast for Monday?

cupoosta [38]

Answer:

The percent error in the meteorologist's forecast for Monday is 5.26316 %

Step-by-step explanation:

7 0

3 years ago

70000 is ten times as much as

svetlana [45]

70,000 is ten times as much as 7,000. This is because 7,000 times 10 equals 70,000. I got this answer by dividing 70,000 by 10.

6 0

3 years ago

Melissa makes 9 dollars

RideAnS [48]

Knowing she makes $9 for each 1 hour, you know that if you'd need to find how much she made after 4 hours, you would do 9(4), giving you the answer of $36.
With this knowledge, you can replace the 4 with h.

9(h)=P

The reason why it's such a simple equation is because it's per hour and nothing else is being increased, decreased, or changed.

Hope this helps!

8 0

3 years ago

Which ratio is equivalent to the ratio 10:9? A 40 to 27 B 30:36 C 36 to 30 40:36

Svetlanka [38]

The answer that you are looking for is A. 40 to 27

8 0

2 years ago