Answer:
(a) m = 10
(b) n = 160
Step-by-step explanation:
To rewrite the expression in the manner indicated, write an equation that sets the given expression equal to the desired expression. Then solve for the variable value. The distributive property and the usual rules of exponents apply.
The rules of exponents you can use here are ...
(a^b)(a^c) = a^(b+c)
(a^b)^c = a^(bc)
a^0 = 1
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(a) 2^101 +2^103 = m×2^100
2^(101-100) +2^(103-100) = m × 2^(100-100) . . . . . . . multiply by 2^(-100)
2^1 +2^3 = m
2 + 8 = m
m = 10
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(b) 2^101 +2^103 = n×4^48
2^101 +2^103 = n×(2^2)^48 . . . . . substitute 4 = 2^2
2^101 +2^103 = n×2^96 . . . . . . . . simplify
2^5 +2^7 = n . . . . . . . . . . . . . . . . . as above, multiply by 2^(-96)
32 +128 = n
n = 160
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<em>Additional comment</em>
The rules of exponents tell you that ...
(m × 2^100) × 2^-100 = m × 2^(100 -100) = m × 2^0 = m
This is effectively the same as dividing by 2^100. You're doing the same thing you would do to solve any linear equation: divide by the coefficient of the variable.
Answer:
I don't know but I can help you understand it.
Step-by-step explanation:
First find the the answer to the problem and then try to compare all of them to each other and choose the one that makes the most sense.
Answer:
on the outside of the bracket. The divisor is the number you're dividing by.Set up the division problem with the long division symbol or the the dividend, on the inside of the bracket. The dividend is the number you're dut 32, the divisor, on the outside of the bracket. The divisor is the number you're dividing by.Set up the division problem with the long division symbol or the long division brackPut 487, the dividend, on the inside of the bracket. The dividend is the number yoPut 32, the divisor, on the outside of the bracket. The divisor is the number you're dividing by.
Step-by-step explanation:
Option D:
Solution:
Reflexive property of congruence:
<em>Reflexive property of congruence means the geometric figure is congruent to itself.</em>
Option A: If 
From the definition of reflexive property, it is not true.
This is transitive property of congruence triangles.
Therefore it is false.
Option B: 
From the definition of reflexive property, it is not true.
Therefore it is false.
Option C: 
From the definition of reflexive property, it is not true.
Therefore it is false.
Option D:
Here, ΔKLM is congruent to itself.
This statement illustrates the reflexive property of congruence for triangles.
Therefore, it is true.
Hence option D is the correct answer.
