Question

simplify (6⁵)⁴ pls show the method​

Answer 1

The value of $(6^{5} )^{4}$  is $3.656158$×$10^{15}$$.$

Step-by-step explanation:

Given:

$(6^{5} )^{4}$

To find:

The value of $(6^{5} )^{4}$

Solution:

$(6^{5} )^{4}$

Use the rule of the exponents to simplify expression,

⇒  $(6^{5} )^{4}$                                          { ${(x^a)^b=x^{ab}}$}

To raise a power to another power, multiply the exponents,

⇒$6^{5X4}$

Multiply 5 times 4,  

⇒$6^{20}$

It can be written as,

⇒$2^{20}$×$3^{20}$

⇒$3.656158$×$10^{15}$

So the final answer is $3.656158$×$10^{15}$.