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fredd [130]
3 years ago
10

Simplify the expression write the expression in scientific notation (5 times 10^7) (6 times 10^4)

Mathematics
2 answers:
Crank3 years ago
8 0

5 times 10^7= 50000000

6 times 10^4= 60000

<span>(50000000)</span><span>(60000)</span>

<u>Answer</u>
3000000000000
Vitek1552 [10]3 years ago
8 0

You can multiply the coefficients and powers separately:


(5 \times 10^7) \times (6 \times 10^4) = (5 \times 6) \times (10^7 \times 10^4)


Solve the first set of parentheses:


5 \times 6 = 30


Solve the second set of parentheses:


10^7 \times 10^4 = 10^{7+4} = 10^{11}


Now the expression can be written as follows:


30 \times 10^{11}


You can divide 30 by 10, so you can add one to the power for 10^11 and get your answer:


30 \times 10^{11} = \boxed{3 \times 10^{12}}

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If a,b, and c are prime numbers, do (a*b) and c have a common factor that is greater than 1

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Let's assume values of 1,3 and 2 to a,b and c respectively

a *b = 1*3 = 3

3 and 2 does not have a common factor aside 1

2. c \neq 2

Let's assume values of 2,7 and 3 to a b and c response

a * b = 2 *7 = 14

14 and 3 does not have a common factor aside 1

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8 0
1 year ago
A plastic box has a length 4 cm longer than its width. The area of the rectangular top of the box is 77 square cm. Find the leng
finlep [7]

Answer: the length is 11 cm.

The width is 7 cm.

Step-by-step explanation:

Let L represent the length of the rectangular plastic box.

Let W represent the width of the rectangular plastic box.

The area of the rectangular top of the box is 77 square cm. This means that

LW = 77- - - - - - - ;- - - -1

The plastic box has a length 4 cm longer than its width. This means that

L = W + 4

Substituting L = W + 4 into equation 1, it becomes

(W + 4)W = 77

W² + 4W = 77

W² + 4W - 77 = 0

W² + 11W - 7W - 77 = 0

W(W + 11) - 7(W + 11) = 0

W - 7 = 0 or W + 11 = 0

W = 7 or W = - 11

Since the width cannot be negative, then W = 7cm

L = 77/7 = 11 cm

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3 years ago
Adding &amp; subtracting decimals word problems
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3 years ago
(2/5)^-2(-3)^4<br><br> What is the equivalent?
Nikolay [14]

Answer:

-8100

Step-by-step explanation:

(2/5)^-2(-3)^4

Given data

and second term

The first term=  (2/5)^-2  and

Second term=(-3)^4

Simplify the first term

(2/5)^-2= 2^-2/ 5^-2= 1/2^2 * 1/5^2

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Hence, 100*81

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2 years ago
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