Rakesh solved some problems of exponents in the following way. Do you agree with thesolutions? If not why? Justify your argument.1.x^-3×x^-2=x^-62.x^3÷x^2=x^4 About the author Maria
Step-by-step explanation: No, I do not agree with the solution provided by Rakesh By theory of exponent we know that x^a/x^b = x^a-b ∴ x³/x² = x³-² = x¹= x not equal to x⁴ The correct answer is x, which is justified above. Reply
Answer: [tex]\huge\mathfrak\purple{Answer}[/tex] No we don’t agree with the solutions. [tex]\mathfrak\pink{Reason:-}[/tex] In first part We know that [tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex] So according to this the answer is [tex] {x}^{ – 3} \times {x}^{ – 2} = {x}^{ – 3 + ( – 2)} [/tex] [tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = x^{ – 5} [/tex] And in second part We know that [tex] {a}^{m} \div {a}^{n} = {a}^{m – n} [/tex] So according to this the ans is [tex] {x}^{3} \div {x}^{2} = {x}^{3 – 2} [/tex] [tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{1} [/tex] Step-by-step explanation: Hope this helps you. # By Sparkly Princess Reply
Step-by-step explanation:
No, I do not agree with the solution provided by Rakesh
By theory of exponent we know that
x^a/x^b = x^a-b
∴ x³/x² = x³-² = x¹= x not equal to x⁴
The correct answer is x, which is justified above.
Answer:
[tex]\huge\mathfrak\purple{Answer}[/tex]
No we don’t agree with the solutions.
[tex]\mathfrak\pink{Reason:-}[/tex]
In first part
We know that
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
So according to this the answer is
[tex] {x}^{ – 3} \times {x}^{ – 2} = {x}^{ – 3 + ( – 2)} [/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = x^{ – 5} [/tex]
And in second part
We know that
[tex] {a}^{m} \div {a}^{n} = {a}^{m – n} [/tex]
So according to this the ans is
[tex] {x}^{3} \div {x}^{2} = {x}^{3 – 2} [/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{1} [/tex]
Step-by-step explanation:
Hope this helps you.
# By Sparkly Princess