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Strike441 [17]
4 years ago
12

}^{ - 1 } \div 7 {}^{2} " alt="7 {}^{ - 1 } \div 7 {}^{2} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
nikdorinn [45]4 years ago
8 0

Answer:

  1/343

Step-by-step explanation:

  \dfrac{7^{-1}}{7^2}=7^{-1-2}=7^{-3}=\dfrac{1}{7^3}=\boxed{\dfrac{1}{343}}

__

The applicable rules of exponents are ...

  (a^b)/(a^c) = a^(b-c)

  a^-b = 1/a^b

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Convert to a fraction 12 3\100​
sashaice [31]

Answer:

1203/100

Step-by-step explanation:

12 times 100 equals 1200 plus three equals 1203/100

8 0
3 years ago
Brandon spends $25.30 on 2 large containers of popcorn and 4 large drinks. A large container of popcorn costs $5.25. What is the
Paladinen [302]

Answer:

$3.70

Step-by-step explanation:

$25.30 = 2P + 4D. p for popcorn and d for drinks

P= $5.25

$25.30 = 2($5.25) + 4D

$25.30 = $10.50 + 4D

-10.50. -10.50

inverse operations

$14.80 = 4D

÷4. ÷4

Inverse operations

$3.70 = D

5 0
3 years ago
Find the area of the sector of the circle Radius. 7kmCentral angle. 2pi over 3<br> Show steps
viktelen [127]

9514 1404 393

Answer:

  51.3 km²

Step-by-step explanation:

The area formula is ...

  A = 1/2r²θ . . . . where θ is the central angle in radians

  A = 1/2(7 km)²(2π/3) = 49π/3 km² ≈ 51.3 km²

6 0
3 years ago
How is multiplying exponents (x² ⋅ x⁴) different from raising a power to a power ((x²)⁴)?
goblinko [34]

Answer:

When you are "multiplying" exponents, you're really just adding them together. So in the case of (x² ⋅ x⁴), you add the exponents:

2 + 4 = 6

x^{6} would be the answer.

On the other hand, raising a power to a power, is actually multiplying them. So it would just be:

2 ⋅ 4 = 8

x^{8} would be the answer.

8 0
3 years ago
What value of w makes the equation 145 = w + 27 true?
vovikov84 [41]

Answer:

118

Step-by-step explanation:

In the equation 145 = w + 27, you can solve for w by subtracting 27 from 145. That would give you 118. You can check this is correct by adding 27 to 118. 118 plus 27 = 145.

5 0
3 years ago
Read 2 more answers
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