Question

Express (2a)4 in exponential form​

Answer 1

2^4

= 2*2*2*2

=16

SO (2a)^4 is equal to (16a^4)

Answer 2

$(2a)^{4}$ in exponential form is $16a^{4}$.

Solution,

• The exponential form of a number is a shortcut method of writing repeated multiplication involving exponents and bases.

• For example, we can write 7 × 7 × 7 × 7 as $7^{4}$ in exponential form, where 7 is the base and 4 is the power.

       $(2a)^{4}$  can be expanded as (2a × 2a × 2a × 2a).

• Now, let us multiply all the constants together and the variable a together.

       ⇒   ( 2 × 2 × 2 × 2 ) × ( a × a × a × a )

• In the next step we will get,

       ⇒    ( 16 ) × ( $a^{4}$ )

Hence,  $16a^{4}$ is the exponential form of  $(2a)^{4}$.