`. Select all the pairs of equivalent expressions.a. (43)3 and 43 ⋅ 43
b. (34)4 and 38 ⋅ 38
c. 64 ⋅ 34 and 188
d. 43 ⋅ 53 and 203
e. (43)3 and 43 ⋅ 43 ⋅ 43
2. Choose an equivalent expression for 123 • 129 • 124 • 122.
a. 12^4
b. 12^18
c. 12^35
d. 12^216
3. Choose an equivalent expression for 106 ÷ 104.
a. 10^2
b. 10^3
c. 10^10
d. 10^24
4. Select all the expressions that are equivalent to 78 • 7.
a. 73 • 73
b. 7^18/7^9
c. (73)3
d. 74 + 75
e. 74 • 75
5. Is this equation correct?
63 ⋅ 73 = 423
A. Yes; 63 • 73 is equal to (6 • 7)3 or 423.
B. Yes; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).
C. No; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3).
D. No; 63 • 73 is equal to (6 • 7)3 + 3 or 426.
Answers
This question was not properly written
Complete Question
Select all the pairs of equivalent expressions.
a. (4³)³ and 4³ ⋅ 4³
b. (3⁴)⁴ and 3⁸ ⋅ 3⁸
c. 6⁴ ⋅ 3⁴ and 18⁸
d. 4³ ⋅ 5³and 20³
e. (4³)³ and 4³ ⋅ 4³ ⋅ 4³
2. Choose an equivalent expression for 12³ • 12⁹• 12⁴ • 12².
a. 12^4
b. 12^18
c. 12^35
d. 12^216
3. Choose an equivalent expression for 10⁶ ÷ 10⁴.
a. 10^2
b. 10^3
c. 10^10
d. 10^24
4. Select all the expressions that are equivalent to 7⁸ • 7.
a. 7³• 7³
b. 7^18/7^9
c. (7³)³
d. 7⁴ + 7⁵
e. 7⁴ • 7⁵
5. Is this equation correct?
6³⋅ 7³= 42³
A. Yes; 6³• 7³ is equal to (6 • 7)³ or 42³.
B. Yes; 6³ • 7³is equal to (6 • 7 • 3) or (42 • 3).
C. No; 6³ • 7³ is equal to (6 • 7 • 3) or (42 • 3).
D. No; 6³ • 7³ is equal to (6 • 7)³+ 3 or 42⁶.
Answer:
1 The correct answer is
d. 4³ ⋅ 5³ and 20³
e. (4³)³ and 4³ ⋅ 4³ ⋅ 4³
2b. 12^18
3 a = 10²
4a. 7³ • 7³
c. (7³)³
e. 7⁴ • 7⁵
5 A. Yes; 6³• 7³ is equal to (6 • 7)³ or 42³.
Step-by-step explanation:
1) Select all the pairs of equivalent expressions.
These are the correct options
d. 4³ ⋅ 5³and 20³
4³ × 5³ = 8000
20³ = 8000
e. (43)3 and 43 ⋅ 43 ⋅ 43
2. Choose an equivalent expression for 12³ • 12⁹• 12⁴• 12².
For an Algebraic Expressions,
We have the rule
x^a × x^b = x ^a+ b
Hence: 12³ • 12⁹• 12⁴ • 12².
= 12^3+9+4+2 = 12^18
Hence, b. 12^18
3. Choose an equivalent expression for
10⁶ ÷ 10⁴.
For an Algebraic expressions
x^a ÷ x^b = x ^a - b
Therefore
10⁶÷ 10⁴ = 10²
a. 10^2 Is the correct option
4. Select all the expressions that are equivalent to 7⁸ • 7.
7⁸ . 7= 7^8+1
= 7^9 or 7⁹
The equivalent expressions are:
a. 7³ • 7³ = 7⁹
b. 7^18/7^9 = 7⁹
c. (7³)³ = 7⁹
e. 7⁴ • 7⁵ = 7⁹
5. Is this equation correct?
6³ ⋅ 7³ = 42³
A. Yes; 6³• 7³ is equal to (6 • 7)³ or 42³
1. There are equivalent expressions in options (a) and (e).(43)3 and 43 ⋅ 43, (43)3 and 43 ⋅ 43 ⋅ 43
2. The equivalent expression for 123 • 129 • 124 • 122 is 12^18. Option b
3. The equivalent expression for 106 ÷ 104 is 10^2.Option a
4. Equivalent expressions in options (a) and (c) represent 78 • 7.
5. The equation 63 ⋅ 73 = 423 is not correct; the correct result is 63 • 73 = 1369.Option C
1. Pairs of Equivalent Expressions:
a. (43)3 and 43 ⋅ 43: These are equivalent expressions because (43)3 means 43 raised to the power of 3, which is the same as 43 multiplied by itself 3 times.
e. (43)3 and 43 ⋅ 43 ⋅ 43: These are equivalent expressions because (43)3 means 43 raised to the power of 3, which is the same as 43 multiplied by itself 3 times.
2. Equivalent Expression for 123 • 129 • 124 • 122:
b. 12^18: This expression represents the product of 12 raised to the power of 18, which is equivalent to multiplying the given numbers.
3. Equivalent Expression for 106 ÷ 104:
a. 10^2: This expression represents 10 raised to the power of 2, which is equivalent to the given division.
4. Expressions Equivalent to 78 • 7:
a. 73 • 73: This expression represents the square of 7^3, which is equivalent to 78 • 7.
c. (73)3: This expression represents 7^3 raised to the power of 3, which is equivalent to 78 • 7.
5. Is the Equation Correct?
C. No; 63 • 73 is equal to (6 • 7 • 3) or (42 • 3). The equation 63 ⋅ 73 = 423 is not correct; the correct result is 63 • 73 = 1369. The provided equation does not accurately represent the multiplication of 63 and 73.
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Then
Age of Leah = x + 6
Age of John = 5 + (x + 6)
= x + 11
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Answer: Our simplified form will be
Step-by-step explanation:
Since we have given that
So, first we split the middle term of the denominator ,
Similarly,
Now, we put in our expression above:
Hence, our simplified form will be
After factoring you will get:
x-5 over (x+2)(x+5) times x+4 over (x-3)(x+4)
Step 2 is to remove the duplicate factors!
Remove x+4 and x+5
x-5 over (x+2)(x-5) times 1 over x-3 = 1 over x+2 times 1 over x-3
Step 3 is to multiply the numerators and the denominators.
End result is 1 over (x+2)(x-3)
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they do intersect in 1 point though
answer is TRUE