Find the quotient.
5^7/5^3
a.5^4
b.5^10
c.8^15
d.8^21
if the base is the same (5, in this case)
... you can subtract the denominator exponent from the numerator exponent
5^7/5^3 = 5^(7-3) = 5^4
because
5*5*5*5*5*5*5
---------------------- = 5*5*5*5
5*5*5
To find the quotient of 5^7/5^3, you can subtract the exponents because when you divide two powers with the same base, you subtract the exponents.
The exponent of 5^7 is larger than the exponent of 5^3. So, subtract the exponent of 5^3 from the exponent of 5^7.
7 - 3 = 4
Therefore, the quotient is 5^4. Therefore, the answer is choice (a) 5^4.
To find the quotient of two exponential expressions, you need to subtract the exponents of the same base. In this case, both expressions have a base of 5.
We have 5^7 divided by 5^3.
To divide exponential expressions with the same base, you subtract the exponents.
So, 5^7 / 5^3 = 5^(7-3) = 5^4.
Therefore, the quotient is 5^4.
Therefore, the correct answer is a. 5^4.