I may be dumb but I still need help

Mathematics

2 answers:

Alex73 [517]3 years ago

8 0

Wanna work it out together so you understand? :)

Tanya [424]3 years ago

8 0

Ok so i'm gonna send this in parts since each time I have to open it us and make sure i'm sending you the right answer to each number.

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Simplify<br><img src="https://tex.z-dn.net/?f=%20%7B%28%20-%201%29%7D%5E%7B10%7D%20" id="TexFormula1" title=" {( - 1)}^{10} " al

tensa zangetsu [6.8K]

The answer is one, because 1 is a absolute value so 1 x 10 is 10

4 0

3 years ago

A rectangle has an area of 240 square meters and a width of 15 meters.

fredd [130]

Area is found by taking the length time width or A=lw

240=L x 15 divide both sides by 15

Length = 16 meters

3 0

3 years ago

What is the value of the expression if m = –5 and n = 3? Negative StartFraction 24 Over 25 EndFraction Negative StartFraction 4

KatRina [158]

You can use the fact that a number raised to negative powers can be written as 1 divided by that number raised to positive number.

The value of the given expression when m = -5 and n= 3 is $-\dfrac{2}{5}$

<h3>How can we rewrite a number raised to negative power?</h3>

Suppose we've got $a^{-b}$ . then it can be rewritten as

$a^{-b} = \dfrac{1}{a^b}$

It is because $a^0 = 1$ for any a except 0, and that $\dfrac{a^0}{a^b} = a^{0-b} = a^{-b}$

If base are same and there is multiplication, then there will be addition in power.

Also, know the fact that if base are same and there is division, there will be subtraction in power(subtracting since that denominator when goes up, its power gets negated(gets negative sign to the existing power)

Thus,

$a^b \timesa ^c = a^{b+c}\\\\\dfrac{a^b}{a^c} = a^{b-c}$

<h3>Using above method to simplify the given expression before evaluating</h3>

The given expression is $\dfrac{2m^{-1}n^5}{3m^0n^4} = \dfrac{2n^5}{3m^0m^1n^4} = \dfrac{2n^5}{3mn^4} = \dfrac{2n^{5-4}}{3m} = \dfrac{2n^1}{3m} = \dfrac{2n}{3m}$