Question

Rakesh solved 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.x^3÷x^2=x^4​

Answer 1

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 2

Answer:

$\huge\mathfrak\purple{Answer}$

No we don't agree with the solutions.

$\mathfrak\pink{Reason:-}$

In first part

We know that

${a}^{m} \times {a}^{n} = {a}^{m + n}$

So according to this the answer is

${x}^{ - 3} \times {x}^{ - 2} = {x}^{ - 3 + ( - 2)}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = x^{ - 5}$

And in second part

We know that

${a}^{m} \div {a}^{n} = {a}^{m - n}$

So according to this the ans is

${x}^{3} \div {x}^{2} = {x}^{3 - 2}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {x}^{1}$

Step-by-step explanation:

Hope this helps you.

# By Sparkly Princess