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Identify the missing numbers below to show the result of multiplying the numbers.

(3.5 × 1016)(2.2 × 1010) = A × 10B

A= 7.7
B = 26

Respuesta :

Laniemartinez
(3.5x1016) = 3556
and 
(2.2x1010) = 2222

As per question;
(3556)x(2222) = 10 a*b
By dividing both sides by "10"
we get
(3556)x(222.2) = a*b
or 
(355.6)x(2222) = a*b
by comparing both sides of the equation, 
we get that a = 3556  and b = 222.2
or 
a = 355.6 and b = 2222

Answer:

A = 7.7 and B = 26

Step-by-step explanation:

Given expression,

[tex](3.5\times 10^{16})(2.2\times 10^{10})[/tex]

[tex]=3.5\times 2.2\times 10^{16}\times 10^{10}[/tex]

[tex]=7.7\times 10^{16+10}[/tex]  [tex](\because a^ma^n=a^{m+n})[/tex]

[tex]=7.7\times 10^{26}[/tex]

According to the question,

[tex]7.7\times 10^{26}=A\times 10^B[/tex]

By comparing,

A = 7.7

B = 26

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