Question

please help 100 points. links or wrong answers will be reported

Number 1 - 4 have been done incorrectly . For each question, your task is to: - Check the box above the error - Describe the error - Type out the correction - Type out the correct answer

Answer 1

Answer:

Step-by-step explanation:

1. When multiplying, exponents must be added, not multiplied as shown in the problem.

Error: $3(-2)x^{2*4}$

Correct: $3(-2)x^{2+4} = -6x^{6}$

2. The coefficients have been added, not multiplied.

Error: $(4+3)a^{2+5}$

Correct: $(4*3)a^{2+5} = 12a^{7}$

3. The exponent was miscalculated.

Error: $x^{6+3}$

Correct: $x^{6+3+1} = x^{10}$

4. The exponent was miscalculated, the two values have different bases, so they cannot be calculated using that method.

Error: $6^{4+3}$

Correct: $3^4*2^3 = (3*2)^3*3 = 3*6^3$

Answer 2

Answer:

See below.

Step-by-step explanation:

Question 1

Given:

$\left(3x^2\right)\left(-2x^4\right)=3\left(-2\right)x^{2 \cdot 4}=-6x^8$

Error:

The exponent product rule has been used incorrectly.

The exponents should be added not multiplied.

Correction:

$\left(3x^2\right)\left(-2x^4\right)=3\left(-2\right)x^{2 +4}=-6x^6$

Correct answer:

$-6x^6$

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Question 2

Given:

$4a^2 \cdot 3a^5=(4+3)a^{2+5}=7a^7$

Error:

The numbers 4 and 3 have been added when they should have been multiplied.

Correction:

$4a^2 \cdot 3a^5=(4 \cdot 3)a^{2+5}=12a^7$

Correct answer:

$12a^7$

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Question 3

Given:

$x^6 \cdot x \cdot x^3=x^{6+3}=x^9$

Error:

The exponent of the x-term has been ignored:  x = x¹

Correction:

$x^6 \cdot x \cdot x^3=x^{6+1+3}=x^{10}$

Correct answer:

$x^{10}$

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Question 4

Given:

$3^4 \cdot 2^3=6^{4+3}$

Error:

The exponent product rule is only applicable when the bases are the same:  a⁴ · a³ = a⁴⁺³

Correction:

$3^4 \cdot 2^3=81 \cdot 8=648$

Correct answer:

$648$