Question

find the value of (2²)³ ​

Answer 1

The final answer is " 2 raised to the power 6" .

Hope it's helpful for you :)

Please mark me as Brainliest :)

Answer 2

Answer:

Value of $(2 ^{2} )^{3}$ is $64$ whereas exponential form of obtained value is $2^{6}$ .

Step-by-step explanation:

To find : value of $(2 ^{2} )^{3}$

Solution :

• One of the law of exponent state
• Power of a power : when there are two exponents for single base we multiply both the exponents. i.e. $\left(a^{m}\right)^{n}=a^{m n}$ .
• In  $(2 ^{2} )^{3}$ , we have $a = 2 , m = 2$  and $n = 3$ .
• Therefore , according to above rule , we multiply both powers $2$ and $3$ keeping the base same .
• We get , $(2 ^{2} )^{3} =(2)^{2\times 3$

                                $= 2^{6} \\\\= 2\times 2\times 2\times 2\times 2\times 2\\\\= 64$