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fenix001 [56]
3 years ago
14

Write the expression in exponential form.

Mathematics
2 answers:
vagabundo [1.1K]3 years ago
7 0
A. I thinkkkkkkk I dont know
Oksana_A [137]3 years ago
6 0
I think it’s A


Explanation:
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PLZ HELP WILL GIVE BRAINLIEST WORTH 10 PTS THX!!
antiseptic1488 [7]

Answer:

  64/49

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c = a^(bc)

  (a^b)(a^c) = a^(b+c)

  a^-b = 1/a^b

  a^0 = 1

_____

Using these rules, we can simplify the given expression to ...

  \left(\dfrac{8\cdot 4\cdot 2}{8\cdot 7}\right)^2\times\left(\dfrac{8^0}{7^{-3}}\right)^3\times 7^{-9}\\\\=\dfrac{8^2}{7^2}\times(8^{0\cdot 3}\cdot 7^{3\cdot 3})\times 7^{-9}\\\\=\dfrac{64}{49}\times(8^07^{9-9})=\boxed{\dfrac{64}{49}}

6 0
3 years ago
Read 2 more answers
Solve the equations by factoring:<br><br>x^2−3x−40=0<br><br>4x^2−81=0
Alja [10]

Answer:

see explanation

Step-by-step explanation:

Given

x² - 3x - 40 = 0

Consider the factors of the constant term (- 40) which sum to give the coefficient of the x- term (- 3)

The factors are - 8 and + 5, since

- 8 × 5 = - 40 and - 8 + 5 = - 3, thus

(x - 8)(x + 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 8 = 0 ⇒ x = 8

x + 5 = 0 ⇒ x = 5

------------------------------------------------------

Given

4x² - 81 = 0 ← this is a difference of squares and factors in general as

a² - b² = (a + b)(a - b), thus

4x² - 81

=(2x)² - 9²

= (2x + 9)(2x - 9) = 0 ← in factored form

Equate each factor to zero and solve for x

2x + 9 = 0 ⇒ 2x = - 9 ⇒ x = - \frac{9}{2}

2x - 9 = 0 ⇒ 2x = 9 ⇒ x = \frac{9}{2}

8 0
3 years ago
Read 2 more answers
PLEASE HELP ME WITH THIS QUESTION ASAP. please and thank you
kotegsom [21]

To solve the given equation, you would need to multiply t by both terms inside the parenthesis.

The equation would be D. (t*14) - (t*5)

3 0
3 years ago
What is the value of a in the diagram below?​
adell [148]

Answer:

a=8

Step-by-step explanation:

We can use ratios of similar triangles to solve

The smaller triangle has sides a and 12  and the larger triangle has sides a+a+4  and 12+18  which combine to 2a+4  and 30

a               2a +4

--------- = -----------

12            30

Using cross products

30a = 12(2a+4)

30a = 24a +48

Subtract 24a from each side

30a -24a = 24a-24a +48

6a = 48

Divide each sdie by 6

6a/6 =48/6

a =8

7 0
3 years ago
What digit is in the hundreds place of 39, 487?
never [62]

Answer:

4

Step-by-step explanation:

6 0
3 years ago
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