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Scrat [10]
3 years ago
15

An expression is given (3^2)^3•3^6/3^4

Mathematics
1 answer:
Tomtit [17]3 years ago
7 0
Hopes this if it doesn’t I any so sorry if I got it wrong:

Answer: 6561
You might be interested in
Jordan and Sydney work at a dry cleaners ironing shirts. Jordan can iron 20 shirts per hour, and Sydney can iron 25 shirts per h
KiRa [710]

Answer: Jordan worked for 10 hours and Sydney worked for 6 hours.

Step-by-step explanation:

Let x represent the number of hours

that Jordan worked.

Let x represent the number of hours that Sydney worked.

Jordan can iron 20 shirts per hour, and Sydney can iron 25 shirts per hour. They ironed 350 shirts between them. It means that

20x + 25y = 350- - - - - - - - - - - 1

Jordan worked 4 more hours than Sydney. It means that

x = y + 4

Substituting x = y + 4 into equation 1, it becomes

20(y + 4) + 25y = 350

20y + 80 + 25y = 350

20y + 25y = 350 - 80

45y = 270

y = 270/45

y = 6

x = y + 4 = 6 + 4

x = 10

6 0
3 years ago
Prove that 5^7+5^6 is divisible by 6.
pishuonlain [190]

Answer:

The Proof for 5^{7}+5^{6}\ is\ divisible\ by\ 6 is below.

Step-by-step explanation:

To Prove:

5^{7}+5^{6}\ is\ divisible\ by\ 6

Proof:

We know law of indices

a^{m}.a^{n}=a^{m+n}

Therefore,

Step 1: Applying law of indices

\dfrac{5^{7}+5^{6}}{6}=\dfrac{5^{6}.5^{1}+5^{6}}{6}

Step 2: Taking common 5^{6} we get

\dfrac{5^{7}+5^{6}}{6}=5^{6}\times (\dfrac{5^{1}+1}{6})

Step 3: 5^{1} = 5 so add 5 + 1 we get

\dfrac{5^{7}+5^{6}}{6}=5^{6}\times \dfrac{6}{6}

Step 4: Cancel 6 from both denominator and numerator we get

\dfrac{5^{7}+5^{6}}{6}=5^{6}\times 1=5^{6} ...That is Divisible by 6 Proved

7 0
3 years ago
When the center of Earth is 3.8 × 105 kilometers from the center of the moon, the force of gravity between Earth and the moon is
kolezko [41]
Given:
r = 3.8x10⁵ km = 3.8x10⁸ m, the distance between the earth and moon,
F = 20.46x10²⁵ N, the gravitational force between the earth and the moon,
G = 6.674x10⁻¹¹ m³/(kg-s²), gravitational constant
M = 5.972x10²⁴ kg, the mass of the earth.

Let m = mass of the moon.
Then
F = (G*M*m)/r^2
or
m = (F*r^2)/(G*M)

In SI units,
m = [20.46×10²⁵ * (3.8×10⁸)²]/[6.674×10⁻¹¹ * 5.972×10²⁴]
    = 7.4125×10²⁸ kg

Answer:  7.4125x10²⁸ kg
5 0
3 years ago
What is the discount and sale price of a $300 item that has been discounted at 10%?
telo118 [61]

Answer:

Discount: $30 off

New Sale Price: $270

Step-by-step explanation:

$300*10% =

30

$300-30=

$270

or

$300*.1=

30

$300-30=

$270

4 0
2 years ago
I think the answer is b, is this correct?
Art [367]

Answer:

I think its D .

Step-by-step explanation:

hope this helps you

3 0
3 years ago
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