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xxTIMURxx [149]
1 year ago
13

I dont understand how to simplify an expression with exponents

Mathematics
1 answer:
Mashutka [201]1 year ago
8 0

Answer:

3^4

Step-by-step explanation:

Simplifying an expression with expression with exponents:

If they are dividing, we keep the base and subtract the exponents. For example:

\frac{a^x}{a^y}=a^{x-y}

In this question:

\frac{3^2}{3^{-2}}=3^{2-(-2)}=3^{2+2}=3^4

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What number is 76.8% of 42.5
Law Incorporation [45]
To get the solution, we are looking for, we need to point out what we know. 

<span>1. We assume, that the number 42.5 is 100% - because it's the output value of the task. </span>
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 42.5 is 100%, so we can write it down as 42.5=100%. </span>
<span>4. We know, that x is 76.8% of the output value, so we can write it down as x=76.8%. </span>
5. Now we have two simple equations:
1) 42.5=100%
2) x=76.8%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
42.5/x=100%/76.8%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 76.8% of 42.5

42.5/x=100/76.8
<span>(42.5/x)*x=(100/76.8)*x       - </span>we multiply both sides of the equation by x
<span>42.5=1.30208333333*x       - </span>we divide both sides of the equation by (1.30208333333) to get x
<span>42.5/1.30208333333=x </span>
<span>32.64=x </span>
x=32.64

<span>now we have: </span>
<span>76.8% of 42.5=32.64</span>
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4 years ago
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Step-by-step explanation:

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Question 8 (5 points) 4(8+2*5-6) 164 ob 24 176 o od 48​
Vilka [71]

Answer:

48

Step-by-step explanation:

4(8+2(5)-6)

=4(8+10-6)

=4(12)

=48

5 0
3 years ago
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