this is for a practice test. i just need the explanation on how to solve them and help solving them. or for a couple of them to check my answers.
write each expression using a single exponent.
1) x^9/x^2
A)x^11**
B)x^7
C)7
D)x^5
2) h^14/h^5
A)h^-9
B)h^1/9
C)h^19**
D)h^9
simplify each expression
3) 4^4/4^6
A)-16
B)16
C)1/16
D)-1/16
4) 50
A)0
B)5
C)1
D)-5
5) Replace the ____ with <,>, or = to make a true statement.
7^4/7^2_____49
A)<
B)>
C)=**
D)non of the above
Multiply the following polynomials.
6)-2r(8r+5)
A)-16r^2+5
B)-16r+10
C)-16r-10r**
D)-16r-10
7) 4a(a^2+7a+4)
A)4a+28a^2
B)4a^3+28a^2+16a**
C)4a^3+44a
D)44a^4
8) (2y-3)(3y-2)
A)6y^2-13y+6
B)6y^2-13y-6**
C)6y^2+13y-6
D)6y^2+13y+6
1) x^9/x^2 = x(9-2) = x^7
2) h^14/h^5
14 - 5 = 9, not 19
3) 4^4/4^6
4 - 6 = -2
4^-2 = 1/4^2 = 1/16
A)-16
B)16
C)1/16
D)-1/16
4) 50
A)0
B)5
C)1
D)-5
Perhaps you mean 5^0
but anything^0 = 1
7^4/7^2 = 7^2 = 7*7 = 49 right
6)-2r(8r+5)
A)-16r^2+5
B)-16r+10
C)-16r-10r**
D)-16r-10
Nah, -16 r^2 - 10 r
probably c but a typo
7 yes
8 A because -3 * -2 = +6
@Damon, thank you so much, and yes, number 7 was a typo. but thank you so much for your help
Sure! I can help you with these practice test questions and explain how to solve them. Let's go through each question one by one.
1) To write the expression x^9/x^2 using a single exponent, we subtract the exponents since we are dividing. So, x^9/x^2 becomes x^(9-2) = x^7. Therefore, the correct answer is B) x^7.
2) Similarly, for the expression h^14/h^5, we subtract the exponents. So, h^14/h^5 becomes h^(14-5) = h^9. Therefore, the correct answer is D) h^9.
3) To simplify the expression 4^4/4^6, we divide the two exponents. So, 4^4/4^6 becomes 4^(4-6) = 4^(-2). Now, a negative exponent means taking the reciprocal. So, 4^(-2) = 1/4^2 = 1/16. Therefore, the correct answer is C) 1/16.
4) The expression 50 is already simplified, so the correct answer is C) 1.
5) To replace the blank with <, >, or = to make a true statement for 7^4/7^2 ____ 49, we can simplify both sides of the inequality. 7^4/7^2 = 49/49 = 1. So, the correct answer is C) =.
6) To multiply -2r(8r+5), we use the distributive property. -2r multiplied by 8r gives -16r^2, and -2r multiplied by 5 gives -10r. So, the expression becomes -16r^2 - 10r. Therefore, the correct answer is C) -16r-10r.
7) Similarly, to multiply 4a(a^2+7a+4), we again use the distributive property. 4a multiplied by a^2 gives 4a^3, 4a multiplied by 7a gives 28a^2, and 4a multiplied by 4 gives 16a. So, the expression becomes 4a^3 + 28a^2 + 16a. Therefore, the correct answer is B) 4a^3+28a^2+16a.
8) Lastly, to multiply (2y-3)(3y-2), we again use the distributive property. (2y multiplied by 3y) gives 6y^2, (2y multiplied by -2) gives -4y, (-3 multiplied by 3y) gives -9y, and (-3 multiplied by -2) gives 6. So, the expression becomes 6y^2-13y-6. Therefore, the correct answer is B) 6y^2-13y-6.
I hope this helps you with your practice test. If you have any more questions, feel free to ask!