write each power as a poweer with a bace 9.
27^6
how do you do this and why? details plz
To write a power with a base of 9, we need to express the given number as a product of powers of 9 since the base should be 9.
For the expression 27^6, we need to rewrite 27 as a power of 9.
To do this, let's consider that 27 can be written as 3^3 since 3 multiplied by itself three times equals 27.
Now we can rewrite 27^6 as (3^3)^6.
To simplify the expression further, we can apply the power of a power rule, which states that when we raise a power to another power, we multiply the exponents.
Hence, (3^3)^6 becomes 3^(3*6).
Simplifying 3*6 gives us 18. Thus, the final expression is 3^18.
Therefore, 27^6 can be expressed as 3^18, which is a power with a base of 9.