Simplify the expression. Assume all variables are positive. (r/32s)^8/5
1 answer:
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To use the equal values method, we want to get both of these equations equal to the same thing, and then set them equal to each other. To do this, let's solve both for x:
For the second equation:
Then if we set these two equal to each other:
Then we take this y value and plug it back into either of our starting equations. I'll use the first one as an example:
Now just solve for x and you'll have your solution.
For the second equation:
Then if we set these two equal to each other:
Then we take this y value and plug it back into either of our starting equations. I'll use the first one as an example:
Now just solve for x and you'll have your solution.
Answer: The top of the ladder is moving down at a rate of 0.303 feet / second
Step-by-step explanation: Please see the attachments below
The given expression 2^8 * 8^2 * 4^-4 can be written in the exponential form 2^n as 2^6.
<h3>What are exponential forms?</h3>The exponential form is a more convenient way to write repetitive multiplication of the same integer by using the base and its exponents.
<u>For example:</u>
If we have a*a*a*a, it can be written in exponential form as:
=a^4
where
- a is the base, and
- 4 is the power.
The power in this format reflects the number of times we multiply the base by itself. The exponent is also known as the index or power.
From the information given:
We can write 2^8 * 8^2 * 4^-4 in form of 2^n as follows:
Therefore, we can conclude that by using the exponential form, the given expression 2^8 * 8^2 * 4^-4 in the form 2^n is 2^6.
Learn more about exponential forms here:
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