Simplify the following:$8^7 \times 8^2 \times (8^3)^2$

Given :

The given expression is $8^7 \times 8^2 \times (8^3)^2$.

To do :

We have to simplify and find the value of the given expression.

Solution :

We know that,

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

$(a^m)^n = (a)^{m \times n}$

$8^7 \times 8^2 \times (8^3)^2  =8^7 \times 8^2 \times 8^{3\times2}$ 

                            $ = 8^7 \times 8^2 \times 8^6$  

                            $ = 8^{7+2+6}$

                            $ =8^{15}$.

Therefore, the value of $8^7 \times 8^2 \times (8^3)^2$ is $8^{15}$.

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Updated on: 10-Oct-2022

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