if the expression 7^15 was simplified using the power rule of exponents which of the following would be an expanded expanded equivalent
expression
The power rule of exponents states that (a^b)^c = a^(b*c).
Using this rule, we can simplify 7^15 as 7^(5*3).
Therefore, an expanded equivalent expression would be 7^5 * 7^3.
To simplify the expression 7^15 using the power rule of exponents, we multiply the exponents.
The power rule states that for any positive integer a and any integers m and n, (a^m)^n = a^(m*n).
In this case, we have 7^15, so we can rewrite it as (7^1)^15 = 7^(1*15) = 7^15.
Therefore, the expanded equivalent expression would be 7^15 itself.
To simplify the expression 7^15 using the power rule of exponents, we need to understand that the rule states that when we have a number raised to a power, and that power is raised to another power, we can multiply the exponents. In this case, we have 7 raised to the power of 15.
To find the expanded equivalent expression, we multiply the exponent 15 by the exponent of the base, which is 1. Therefore, the expanded equivalent expression would be 7^(15*1), which simplifies to 7^15.
So, the expanded equivalent expression of 7^15, which is already in its simplified form, is 7^15 itself.