Simplify a^n*a^-n Thank you! :)

2 answers:

7 0

A ^n • a^-n = a^n + -n = a^0 = 1. The final solution to this question would be 1. Remember to follow the rules of exponents when trying to simplify the expression, in this case the multiplication rule.

irakobra [83]3 years ago

6 0

Yy^2 I'm pretty sure is the answer!

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a ballroom is being set up for a banquet in one room there are 7 tables and 56 chairs how many tables should be set up for 40 ch

Jobisdone [24]

Answer:

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Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

(√2)^3 <img src="https://tex.z-dn.net/?f=%20%28%5Csqrt%7B2%29%20%7B%3F%7D%5E%7B3%20%5C%5C%7D%20" id="TexFormula1" title=" (\s

Vedmedyk [2.9K]

$\sf \left(\sqrt{2}\right)^3\\\\\\\\\boxed{\sf \mathrm{Apply\:radical\:rule}:\quad \sqrt{a}=a^{\frac{1}{2}}}\\\\\\\\\sf \left(2^{\frac{1}{2}}\right)^3\\\\\\\\\boxed{\sf\mathrm{Apply\:exponent\:rule}:\quad \left(a^b\right)^c=a^{bc} }\\\\\\\\\sf \sf 2^{\frac{1}{2}\cdot \:3}\\\\\\\\\sf 2^{\frac{3}{2}}\\\\\\\\\sf 2^{\frac{3}{2}}=2^{1+\frac{1}{2}}\\\\\\\\\sf 2^{1+\frac{1}{2}}\\\\\\\\\boxed{\sf \mathrm{Apply\:exponent\:rule}:\quad \:x^{a+b}=x^ax^b}\\\\\\\\\sf$

$\sf 2 ^1\cdot \:2^{\frac{1}{2}}\\\\\\\\\boxed{\sf \mathrm{Refine}}\\\\\\\\\boxed{\sf =2\sqrt{2}}$

5 0

2 years ago

6. You've just received an order of silk flower arrangements from your wholesaler. You paid $20.00 each for them. Your store use

cupoosta [38]

10% of $20 is $2 (take off the end 0)
$20+10%=?
$20+$2[this is 10%]=$22
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3 years ago

Please help with this square problem, the picture is shown.

Galina-37 [17]

Area of the upper rectangle = x(16 - 6) = 10x yd²

Area of the bottom rectangle = 6(x + 6) = 6x + 36 yd²

Total area = 10x + 6x + 36 = 16x + 36 yd²

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3 years ago

Limit as x approaches 0 of csc3x/cotx

jolli1 [7]

Hello Meggieh821, to find the lim as x approaches 0 we can check this by inserting a number that is close to 0 that is coming from the left and from the right.

For instance, we can find the lim by using the number -.00001 for x and solve
csc(3x) / cot(x)
csc(3*-.00001) / cot(-.00001) = .333333... = 1 /3

We also need to check coming from the right. We will use the number .00001 for x
csc(3x) / cot(x)
csc(3*.00001) / cot(.00001) = .333333... = 1 /3

So since we are getting 1/3 from the left and right we can say as x approaches 0 the limit is 1/3

 $\lim_{x\to 0} \frac{csc(3x)}{cot(x)} = \frac{1}{3}$

6 0

3 years ago