Question

State whether the given statement is True or False: ${(10+10)}^{10}={10}^{10}+{10}^{10}$.

• A. True
• B. False

Answer 1

The correct option is B False

Know that according to the property of exponent and power, $a^{m+n}=a^m\times a^n$.

Here, ${(10+10)}^{10}={10}^{10}+{10}^{10}$.

Solve LHS,

$\begin{array}{c}{(10+10)}^{10}={20}^{10}\\ =1.024\times {10}^{13}\end{array}$

Solve RHS,

${10}^{10}+{10}^{10}=2\times {10}^{10}$

Understand that LHS is not equal to RHS.

Hence, the given statement is false.