Using the Quotient Rule of Exponents, what is 7^7÷7^3 in exponential simplest form?
base=
, exponent=
base = 7
exponent = 4
base = 6
exponent = 4
Applying the Quotient Rule of Exponents, what is an equivalent form of 6^9÷6^5? Answer with a whole number for the exponent.
base=
, exponent=
base = 7, exponent = 7 - 3 = 4
To simplify the expression 7^7 ÷ 7^3 using the Quotient Rule of Exponents, we need to subtract the exponents since we are dividing with the same base.
The Quotient Rule states that when dividing two exponents with the same base, you subtract the exponents.
So, for 7^7 ÷ 7^3, we subtract 3 from 7:
7^7 ÷ 7^3 = 7^(7-3)
Simplifying further:
7^7 ÷ 7^3 = 7^4
Therefore, the simplified form of 7^7 ÷ 7^3 is 7^4.