Express 3/8a^3y^5 using rational exponents.
I do not know exactly how the question is worded in case some parentheses are missing.
Case 1:
(3/8)a3y5
... no change required.
Case 2:
use the identity
1/am = a-m
3/(8a3y5)
=(3/8)a-3y-5
To express 3/8a^3y^5 using rational exponents, we can rewrite the variables with exponents in fraction form.
First, let's express the variables 'a' and 'y' with rational exponents.
'a' can be written as a^(1/1) since any number raised to the power of 1 is itself.
'y' can also be written as y^(1/1).
Now we can rewrite 3/8a^3y^5 using rational exponents:
3/8a^3y^5 = 3/8 * a^(3/1) * y^(5/1)
To simplify further, multiply the whole number, the coefficient 3/8, with the exponents:
3/8 * a^(3/1) * y^(5/1) = (3 * a^3) / (8 * 1) * (1 * y^5) / (1 * 1)
Simplifying the expression gives us:
(3a^3y^5) / 8.
So, 3/8a^3y^5 expressed using rational exponents is (3a^3y^5)/8.