use ^ for exponents online
x^9/x^2 = x^(9-2) = x^7
x9/x2
x^9/x^2 = x^(9-2) = x^7
2.) D
3.) C
4.) C
5.) C
6.) C
7.) B
8.) A
(unit 6, lesson 5) ~*~
For questions 1 & 2, write each expression using a single exponent.
1. x^9/x^2
B: x^7
2. h^14/h^5
D: h^9
For questions 3 & 4, simplify each expression.
3. 4^4/4^6
C: 1/16
4. 5^0
C: 1
For question 5, replace the ___ with <, >, or = to make a true statement.
5. 7^4/7^2 ___ 49
C: =
For questions 6, 7, & 8,multiply the polynomials.
6. -2r(8r + 5)
C: -16r^2 - 10r
7. 4a(a^2 + 7a + 4)
B: 4a^3 + 28a^2 + 16a
8. (2y - 3)(3y - 2)
A: 6y^2 - 13y + 6
A: -16
B: 16
C: 1/16
D: -1/16
To simplify the expression 4^4/4^6, we can use the rule that says when two powers are divided with the same base, we need to subtract the exponents.
In this case, we have:
4^4/4^6 = 4^(4-6) = 4^(-2)
Now we need to simplify 4^(-2), which means we need to find the reciprocal of 4^2 (4 multiplied by itself twice), and the reciprocal is 1/4^2.
So, 4^(-2) = 1/4^2 = 1/16.
Therefore, the answer is C: 1/16.