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

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

See below.

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`