Rewrite using a single exponent.
(6^3)^5
6^(3*5)
To rewrite (6^3)^5 using a single exponent, we can simplify the expression by multiplying the exponents.
The rule of exponentiation states that when you raise a power to another power, you need to multiply the exponents together.
Therefore, (6^3)^5 can be rewritten as 6^(3*5).
Simplifying the exponent gives us 6^15.
So, (6^3)^5 is equivalent to 6^15.
To rewrite the expression (6^3)^5 using a single exponent, we need to simplify the expression inside the parentheses first.
(6^3)^5 can be rewritten as (216)^5, because 6^3 is equal to 216.
Now, to simplify the expression further, we can multiply the base 216 by itself five times, since the exponent is 5.
(216)^5 = 216 * 216 * 216 * 216 * 216
To perform the multiplication, we multiply the base 216 by itself four times, since we have used the base once already as (216)^1.
216 * 216 * 216 * 216 = 186,624,000
Therefore, the expression (6^3)^5 is equal to 186,624,000 when written using a single exponent.