5. Takesh solued some problems of exponents in the following way. Do you agree with the solutions? If not why? Justify your argument. 1. x‐³ × x‐² = x‐⁶ 2. x³ / x² = x⁴
Answers
Step-by-step explanation:
Given Questions-Solutions:-
i)x-³×x-²=x-⁶
I do not agree with Rakesh.
He did wrong .
Justification:-
x-³×x-²
It is in the form of a^m×a^n
a^m×a^n=a^(m+n)
=>x^(-3-2)
=>x-⁵
x-³×x-²=x-⁵
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ii)x³/x²=x⁴
I do not agree with Rakesh.
He did wrong.
Justification:-
x³/x²
It is in the form of a^m/a^n
a^m/a^n=a^(m-n)
=>x³-²
=>x¹
=>x
x³/x²=x
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iii)(x²)³=x^2³=x⁸
I do not agree with Rakesh
He did wrong
Justification:-
(x²)³
It is in the form of (a^m)^n
(a^m)^n=a^(mn)
=>x²×³
=>x⁶
(x²)³=x⁶
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iv)x-²=√x
I do not agree with Rakesh
He did wrong.
Justification:-
x-²
It is in the form of a^-n
a^-n=1/(a^n)
=>x-²
=>1/x²
x-²=1/x²
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v)3x-¹=1/3x
I do not agree with Rakesh
He did wrong
Justification:-
3x-¹
It is in the form of a^-n
a^-n=1/a^n
=>3x-¹
=>3(1/x)
=>3/x
3x-¹=3/x
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