14 ten thousand + 12 thousand in place value chart

ioda

The answer is 8
Here's why:
${ ( \frac{( {6}^{7}) \times ( {3}^{3}) }{( {6}^{6}) \times ( {3}^{4} ) } )}^{3} = \\ ( \frac{6}{3} ) ^{3} = \\ \frac{216}{27} = 8$
The exponents are subtracted one from another when divided.
$\frac{ a ^{b} }{ {a}^{c} } = {a}^{b - c}$
We can look at the problem this way:
$( \frac{6^{7} }{6 ^{6} } \times \frac{3^{3} }{ {3}^{4} } ) = (6^{7 - 6} \times {3}^{3 - 4} ) = \\ ({6}^{1} \times {3}^{ - 1} )$
Since we have the power of -1 on the 3, we apply this rule:
${a}^{ - b} = \frac{1}{ {a}^{b} }$
Also this rule because we have the power of 1 on the 6:
${a}^{1} = a$
Then we get this:
$(6 \times \frac{1}{3} )^{3} = ( \frac{6}{3} )^{3}$
We apply the rule:
$( \frac{a}{b}) ^{c} = \frac{ {a}^{c} }{ {b}^{c} }$
We get this:
$\frac{{6}^{3} }{ {3}^{3} } = \frac{216}{27} = 8$

4 0

3 years ago

Please help me with this also if you may, Tell me how you got what you got. Worth a lot of points :)

lesantik [10]

Answer

Step-by-step explanation:

i need the form of opperations what are you doing? standard form algerbraic roots with mixed fractions?

4 0

3 years ago

If 4x+3x-2(x+5)=-9 then x=?

Nana76 [90]

Answer:

X=1/5

Step-by-step explanation:

7×-2×-10=-9

5×=-9 +10

5×/5=1/5

×=1/5

3 0

3 years ago

Can someone please figure this out for me because I don't understand it.

lisabon 2012 [21]

The answer would be 'b'
Now, here Luke walks total 2¼ miles but his friend's home is ¼ mile. So, number of trips he makes = Total miles walked ÷ Distance to his friend's home
= 2¼ ÷ ¼ = 9

8 0

3 years ago

100 points please HELP asap!!! (05.01)Which statement best describes the area of the triangle shown below?

zhannawk [14.2K]

Option B:

It is one-half the area of a square of side length 4 units.

Solution:

Base of the triangle = 4 units

Height of the triangle = 4 units

Area of the triangle = $\frac{1}{2} \times\text{base}\times\text{height}$

$$=\frac{1}{2}\times{4}\times{4}$

Area of the triangle = 8 square units

Option A: It is one-half the area of a rectangle of length 4 units and width 2 units.

Area of the rectangle = 4 × 2 = 8 square units

Half of rectangle = $\frac{1}{2}\times8=4$ square units

It is not true because area of the triangle is 8 square units.

Option B: It is one-half the area of a square of side length 4 units.

Area of the square = 4 × 4 = 16 square units

Half of square = $\frac{1}{2}\times16=8$ square units

It is true because area of the triangle is 8 square units.

Option C: It is twice the area of a rectangle of length 4 units and width 2 units.

Area of the rectangle = 4 × 2 = 8 square units

Twice of rectangle = 2 × 8 = 16 square units

It is not true because area of the triangle is 8 square units.

Option D: It is twice the area of a square of side length 4 units.

Area of the square = 4 × 4 = 16 square units

Twice of square = 2 × 16 = 32 square units

It is not true because area of the triangle is 8 square units.

Hence Option B is the correct answer.

It is one-half the area of a square of side length 4 units.

8 0

3 years ago