The expression,
on simplification using the laws of the exponent can be written as <u>- (1/27)</u>.
Exponents are of the form aˣ, read as " <u>a to the power x</u>", function as a multiplied by itself x number of times, and are used in a numerical and algebraic expression.
To simplify these expressions, we use the following laws of the exponents:
![1. a^m.a^n = a^{m + n}\\2.\frac{a^m}{a^n} = a^{m-n}\\ 3. (a^m)^n = a^{mn}\\4. a^{-m} = \frac{1}{a^m}\\5. a^0 = 1](https://tex.z-dn.net/?f=1.%20a%5Em.a%5En%20%3D%20a%5E%7Bm%20%2B%20n%7D%5C%5C2.%5Cfrac%7Ba%5Em%7D%7Ba%5En%7D%20%3D%20a%5E%7Bm-n%7D%5C%5C%203.%20%28a%5Em%29%5En%20%3D%20a%5E%7Bmn%7D%5C%5C4.%20a%5E%7B-m%7D%20%3D%20%5Cfrac%7B1%7D%7Ba%5Em%7D%5C%5C5.%20a%5E0%20%3D%201)
In the question, we are asked to simplify the expression,
.
The expression can be solved using the laws of exponent as follows:
![(-243)^{-3/5}\\](https://tex.z-dn.net/?f=%28-243%29%5E%7B-3%2F5%7D%5C%5C)
=
=
{Using the law of exponent:
}
=
{Using the law of exponent:
}
= 1/(-27)
= - (1/27).
Thus, the expression,
on simplification using the laws of exponent can be written as <u>- (1/27)</u>.
Learn more about laws of exponents at
brainly.com/question/8244767
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Answer:
<u>y=6x-4</u>
Step-by-step explanation:
<u>What we know</u>
- the slope is 6
- our point is (-9,-58)
-9 is x and -58 is y so we have to find the y-intercept y=mx+b is also the formula for this
-58=6(-9)+b
-58=-54+b
-58=54+b - we changed -54 to a positive 54
54-58=-4
y=6x-4
Yeah it is 13/16 is a real number
X = 7/3
Because 16^1.66667 = 101.593 and 4^3.33333 = 101.593
Answer:
<em>$570 a week</em>
Step-by-step explanation:
<u>Percentage Calculations
</u>
One tricky fact about percentages is that they are usually performed over the last computed quantity. It makes them non-additive. For example, a raise of 10% followed by a 10% some time later, is NOT a 20% of total raise
The question states Ashely is making $500 a week at her job and that she receives a 20% pay raise. After that raise she will make
![\$500*(1+20/100)=\$500(1.2)=\$600 \text{ a week}](https://tex.z-dn.net/?f=%5C%24500%2A%281%2B20%2F100%29%3D%5C%24500%281.2%29%3D%5C%24600%20%5Ctext%7B%20a%20week%7D)
A year later she takes a 5% pay cut. We must be careful to take that percentage from the last earnings. She now makes
![\$600(1-5/100)=\$600(0.95)=\$570\ a\ week](https://tex.z-dn.net/?f=%5C%24600%281-5%2F100%29%3D%5C%24600%280.95%29%3D%5C%24570%5C%20a%5C%20week)