If the expression 7^15 what is simplified using the power rule of exponents which of the following would be an expanded equivalent expression?
The power rule of exponents states that when you raise a number to a power, and then raise that result to another power, you can simplify by multiplying the exponents.
So, if we apply the power rule of exponents to the expression 7^15:
7^15 = (7^3)^5
An expanded equivalent expression would then be:
(7 × 7 × 7)^5 = 343^5
To simplify the expression 7^15, we can apply the power rule of exponents, which states that when raising a power to another power, you multiply the exponents.
7^15 can be expanded as (7^3)^5, using the power rule of exponents.
To find the expanded equivalent expression, we need to simplify (7^3)^5. Simplifying (7^3), we get 7^3 = 7 * 7 * 7 = 343.
Substituting the value of (7^3) into the expression, we get (7^3)^5 = 343^5.
Therefore, the expanded equivalent expression for 7^15 is 343^5.
To simplify the expression 7^15 using the power rule of exponents, we need to remember that the rule states that when you raise an exponent to another exponent, you multiply the exponents.
In this case, we have the expression 7^15, which means we have to raise 7 to the power of 15.
To find the expanded equivalent expression, we need to multiply the exponent 15 by the exponent from the base. In this case, the base is 7.
Therefore, the expanded equivalent expression would be:
7^15 = 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7.
Simplifying further, we can write it as:
7^15 = 7,625,597,484,987.
So, the expanded equivalent expression for 7^15 is 7,625,597,484,987.