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Lorico [155]
3 years ago
5

Simplify the expression. a^-5 b-4/a^-13 b^8​

Mathematics
1 answer:
grin007 [14]3 years ago
4 0

Answer:

a^8 ÷ b^12

Step-by-step explanation:

a^-5 · b^-4 / a^-13 · b^8

when dividing exponents with the same bases, subtract the exponents

a^8 · b^-12

do not leave a negative exponent; put it into the denominator and it becomes positive

b^-12 = 1 /b^12

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Vadim26 [7]
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3 years ago
Find the value of x. X=?<br>Volume = 1500 ​
jolli1 [7]

Answer:

x=20

Step-by-step explanation:

Solve the following equation for x:

1500=1/3(15)^{2} x

6 0
2 years ago
Manny and Emma are both competing in a long jump competition at their school. Manny can jump four fifths of the distance that Em
PtichkaEL [24]
Emma distance = x
Mannay distance = 40 in

Relation: 40 in = [4/5] x

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7 0
3 years ago
Of the 25 girls on the Alden Middle School soccer team,40% also play on a travel team.How many of the girls on the middle school
Semenov [28]
So percent means partsout of 100
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7 0
3 years ago
Factorise<br><br>a² - 144<br>Please factorise this​
charle [14.2K]

Answer:

  • \bf\pink{(a-12)\times (a+12)}

Step-by-step explanation:

<h2><u>Given Expression</u> :-</h2>

  • \bf\blue{a^{2} - 144}

<h2><u>Steps to factorise</u> :-</h2>

\longrightarrow\:\:\bf\red{a^{2} - 144}

  • Write the number in the exponential form with an exponent of 2

\longrightarrow\:\:\bf\orange{a^{2}-12^{2}}

  • Using a²-b² = (a-b)(a+b), factor the expression.

\longrightarrow\:\:\bf\purple{(a-12)\times (a+12)}

(<u>Refer the attachment for graph representation</u>)

<h2><u>Graph Details</u> :-</h2>

\bigstar\:\:\bf{y=a^{2}-144}

  • \rm{ Roots \:\:(-12,\:0)\:(12,\:0)}

  • \rm{Domain \:\:a \in {\mathbb{R}}}

  • \rm{Range \:\:y\in \bigg( -144,\:+\infty \bigg) }

  • \rm{Minimum \:\: (0,\:-144)}

  • \rm{Vertical\: Intercept\:\:(0,\:-144)}

4 0
3 years ago
Read 2 more answers
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