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babunello [35]
3 years ago
10

Please select the best answer from the choices provided

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
4 0

<u>Answer:</u>

The correct answer option is c. \frac{1}{9a^2}.

<u>Step-by-step explanation:</u>

We are given an expression (27a^{-3})^{-\frac{2}{3} } and we are supposed to simplify it.

We can also write (27a^{-3})^{-\frac{2}{3} } as (\frac{3^3}{a^3} )^{-\frac{2}{3} }.

We know the power rule (a^m)^n=a^{mn} which means that to raise a power to a power you need to multiply the exponents.

So multiplying the exponents to get:

\frac{3^{(3.-\frac{2}{3})} }{a^{(3.\frac{2}{3})} }\\\\\frac{3^{-2}}{a^2}\\ \\\frac{1}{3^2a^2} \\\\\frac{1}{9a^2}

Therefore, the correct answer option is c. \frac{1}{9a^2}.

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PPPPPPPPlease help me (20 points!!!!)
Vika [28.1K]

\longrightarrow{\mathfrak{\frac{-9}{6}÷\frac{3}{-2}}}

\longrightarrow{\sf{\frac{-\cancel{9}}{\cancel{6}}\times\frac{-\cancel{2}}{\cancel{3}}}}

\longrightarrow{\sf{\frac{3}{3}}}

\longrightarrow{\boxed{\bf{1}}}

Identity applied -

\star{\:\:\:\:\:\:\boxed{\bf{\frac{a}{b}÷\frac{c}{d}=\frac{a}{b}\times\frac{d}{c}}}}

4 0
3 years ago
Jim rented a truck for one day. There was a base fee of $18.95 , and there was an additional charge of 78 cents for each mile dr
erastovalidia [21]

18 - 15.95 = 2.05

2.05 divided by 71 =

2.9 miles

5 0
3 years ago
An adult blue whale can eat about 40 million Krill a day write this number in a scientific notation
BigorU [14]
4x10^7 The number of zeros the given number has would be the exponent
7 0
3 years ago
Read 2 more answers
Prove 2(2x+4)= 16 2(2x) by using the laws of exponents.<br> boris9
storchak [24]

The prove that the equation can be verified using the laws of exponents.

<h3>What is the proof of the equation given; 2^(2x+4)= 16 × 2^(2x)?</h3>

It follows from the task content that the equation given is; 2^(2x+4)= 16 • 2^(2x).

It follows from the laws of indices ; particularly, the product of same base numbers.

The evaluation is therefore as follows;

2^(2x+4)= 16 • 2^(2x)

2^(2x) • 2⁴ = 16 • 2^(2x)

2^(2x) • 16 = 16 • 2^(2x)

Hence, since LHS = RHS, it follows that the expression is mathematically correct.

Read more on laws of exponents;

brainly.com/question/847241

#SPJ1

7 0
1 year ago
Calculate the rent of a decreasing annuity at 8% interest compounded quarterly with payments made every quarter-year for 7 years
Papessa [141]
The general Formula for a decreasing Annuity is:
P = ( \frac{(1+i)^n -1}{i (1+i)^n}) R
For this example we have:
P = 78,000
n = 7*4 = 28
i = 8%/4 = 2% = 0.02

After substituting you can find value for R, rent.
5 0
3 years ago
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