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Crazy boy [7]
3 years ago
11

Evaluate this equation: (4^-3) (4^6)

Mathematics
2 answers:
Stolb23 [73]3 years ago
6 0
The answer is:  " 64 " .
_______________________________________________
Explanation:
_______________________________________________

4⁻³ * 4⁶ = 4⁽⁻³⁺⁶⁾ = 4³ = 4*4*4 = 64.  <span>The answer is:  </span>"64" .
_______________________________________________
Or: 
_______________________________________________
4⁻³ * 4⁶  = 1/4³   * 4⁶ =   4⁶ / 4³ = 4⁽⁶⁻³⁾ = 4³ = 4*4*4 = 64. 
_____________________________________________
Note the following properties of exponents:
_____________________________________________

1) xᵃ * xᵇ = x⁽ᵃ⁺ᵇ⁾ ;

2) x ⁻ᵃ = 1/xᵃ ; (x ≠ 0) ;

3) xᵃ/xᵇ = x⁽ᵃ⁻ᵇ⁾ ; (x ≠ 0) ;
______________________________________________

marishachu [46]3 years ago
4 0
The answer is -1/64, i hope its helps
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3 years ago
9. The ticket at right has a perimeter of 42 cm.
Liula [17]

Perimeter simply represents the sum of all side lengths of a shape. The length of the missing side of the ticket is 5 cm; the length of gold line on each ticket is 20 cm, and 2 bottles of gold ink are required to draw gold lines on 200 tickets.

I've added the image of the ticket as an attachment.

(a) The missing side length

From the attachment, the 4 unknown side lengths are equal. Represent this side length with L.

So, we have:

Perimeter =2\times 11 + 4 \times L

This gives

2\times11 + 4 \times L = 42

22 + 4 \times L = 42

Collect like terms

4 \times L = 42-22

4 \times L = 20

Divide both sides by 4

L =5cm

(b) The length of the gold lines

There are 4 slant lines and the length of one of the slant lines is 5 cm (as calculated above).

So, the length of the gold line is:

Gold = 4 \times L

Gold = 4 \times 5cm

Gold = 20cm

(c) The number of gold ink bottles.

n = 200 --- number of tickets

The length of all gold line in the 200 tickets is:

Length = 200 \times Gold

Length = 200 \times 20cm

Length = 4000 cm

Length = 4000 \times 0.01m ---- convert to meters

Length = 40m

Given that:

Bottle = 20m --- 1 bottle for 20 m

The number of bottles (n) is:

n = \frac{Length}{Bottles}

n = \frac{40m}{20m}

n = 2

Hence, 2 bottles of gold ink are enough.

Read more about perimeters at:

brainly.com/question/6465134

4 0
3 years ago
A deposit $400 into an account that pays simple interest ta a rate of 3% per year how much interest will be paid in the first 5
ValentinkaMS [17]

Answer:

$60

Step-by-step explanation:

This is because 400 times 0.03 is 12 and 12 times 5 is 60

6 0
4 years ago
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