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Sergio039 [100]
3 years ago
7

Find the product. (-5a ^2)^3·a ^5 A)-15a10 B)-125a11 C)15a6 D)-125a10

Mathematics
2 answers:
Ber [7]3 years ago
5 0

Answer:

  B)  -125a^11

Step-by-step explanation:

(-5a^2)^3·a^5 = (-5)^3·a^6·a^5

  = (-5)^3·a^(2·3)·a^5

  = (-5)^3·a^6·a^5

  = -125·a^(6+5)

  = -125·a^11 . . . . matches choice B

_____

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

seropon [69]3 years ago
3 0

Answer:

 B)  -125a^11

Step-by-step explanation:

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8 0
2 years ago
What is the true solution to the equation below? 2 in e in2×-in e in 10×= in 30 A x=30 B x=75 C x=150 D x=300
hodyreva [135]

Answer:

Option B.

Step-by-step explanation:

Let as consider the given equation:

2\ln e^{\ln 2x}-\ln e^{\ln 10x}=\ln 30

It can be written as

2(\ln 2x)-(\ln 10x)=\ln 30         [\because \ln e^a=a]

\ln (2x)^2-(\ln 10x)=\ln 30        [\because \ln a^b=b\ln a]

\ln \dfrac{4x^2}{10x}=\ln 30        [\because \ln \dfrac{a}{b}=\ln a-\ln b]

\ln \dfrac{2x}{5}=\ln 30

On comparing both sides, we get

\dfrac{2x}{5}=30

Multiply both sides by 5.

2x=150

Divide both sides by 2.

x=75

Therefore, the correct option is B.

7 0
4 years ago
Describe how fraction strips can help you order fractions.
Effectus [21]
If the fraction strips are divided into 3, all the parts would be equal. If to compare 1/3 and 1/4 in strips, line them up and see which one is bigger.
3 0
3 years ago
32.725 is it less than or greater than 32.735
cupoosta [38]

Answer:

Less.

Step-by-step explanation:

4 0
4 years ago
Read 2 more answers
Find the difference between two hundred and eighty, and two hundred and thirty-five.
Vilka [71]

Answer:

45 or forty-five

Step-by-step explanation:

280-235 = 45

3 0
2 years ago
Read 2 more answers
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