The statement whether given is true or false?

Say true or false and justify your answer:10 1011= 10011 .

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True

False

answer is B.

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Detailed Solution

The statement is false.
Concept- Complete the given equation by solving both its left and right sides. Now, justify your position by citing their ideals. Wherever necessary, combine the problem with the property of surds.
We know the properties

As the expression given in the problem is

Now that the left and right sides of the equation have been simplified, we can use them to explain the assertion in equation (i). If the simplified values on both sides of the equation are the same, the equation is justified; if not, it is not.

Now, we can see that the first 10 that were multiplied had a power of 1, whereas the second 10 had a power of 11. Consequently, we can use surds' identity as

We have

we have RHS of equation as

As we know 100 can be replaced with

The above equation is now usable with the property of surds given as

In light of this, we can contrast the LHS of equation (vii) and equation (vi).
Thus, we obtain.

Consequently, by combining equations (vii) and (vi) using their identities, we obtain

LHS is not equal to RHS

.
Hence, the given statement is false.

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